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anonymous
 one year ago
will medal for help
Simplify: (sin Θ − cos Θ)^2 + (sin Θ + cos Θ)^2
anonymous
 one year ago
will medal for help Simplify: (sin Θ − cos Θ)^2 + (sin Θ + cos Θ)^2

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Nnesha
 one year ago
Best ResponseYou've already chosen the best response.1let sin x= a and cos = b to make it look s easier :P \[\huge\rm (ab)^2+(a+b)^2\] familiar wit the foil method ?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0ive heard of it before but I cant remember how it goes

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.1alright (ab)^2 is same as (ab)(ab)dw:1439569755635:dw first multiply first term with the 2nd parentheses and then multiply 2nd term of 1st parentheses by 2nd one

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0alright how would i apply that to this problem?

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.1so sin = a b= b (ab)(ab) apply the foil method \[\huge\rm \color{reD}{a}(ab) \color{reD}{ b}(ab)\] distribute

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0I'm sorry im still confused? are we to plug in numbers or just the letters?

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.1well we don't have to i just change cos and sin with a b to make it a little bit easier

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0oh okay I understand whats next?

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.1(ab)(ab) apply the foil method \[\huge\rm \color{reD}{a}(ab) \color{reD}{ b}(ab)\] distribute (ab) by a and then (ab) by b

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.1dw:1439570120307:dw multiply both terms by a a times a  a times b = ?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0ot would it just be (ab)^2

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.1\(\color{blue}{\text{Originally Posted by}}\) @macim a^2  b times a? \(\color{blue}{\text{End of Quote}}\) this is right for first part

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0oh alright! and then it would be a times b b^2?

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.1well it is b(ab) signs!!!

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0wouldn't it just equal b times a because you cant multiply those variables?

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.1yes negative ab ab so b times b = ??

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.1no b times b is b^2 is right but there is sign mistake negative times negative = ?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0oh right sorry it would just be 2b

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0the b^2 is right or 2b?

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.1b^2 when you multiply same bases you should add their exponents

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.1now write it togetherdw:1439570550698:dw \[\huge\rm a^2abab+b^2\] combine like terms

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0would you just end up with a^2+b^2

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0i thought they would just cancel each other out. but if they don't wouldn't it be ab^2

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.1no both terms are same and same sign so you can't** cancel them \[\rm aa= 0~~~aa=2a\] when you add or subtract like terms just simply add or subtract their coefficients and when you multiply same bases then you should add their exponents \[\rm x^1 \times x^1= x^{1+1}\]

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.1abab is same as \[\huge\rm \color{red}{1}ab\color{red}{1}ab=(11)ab\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0alright i understand that

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.1so it's equal to 2ab ? right or no?

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.1abab is same as \[\huge\rm \color{red}{1}ab\color{red}{1}ab=(11)ab=2ab\]

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.1so \[\huge\rm (ab)^2=a^22ab+b^2\] now 2nd part of the question (a+b)^2 which is same as (a+b)(a+b) foil it!

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0foil (ab)^2=a^22ab+b^2?

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.1yea that's for (ab)^2 now foil (a+b)^2

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0I'm sorry I really don't understand?

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.1like i said (a+b)^2 is same as (a+b)(a+b) now just multiply like we did for (ab)^2

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.1or in other words square of first number and square of 2nd number and multiply both terms by 2 here is an example dw:1439571636107:dw just like this

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0would it just be a^2+b^2

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.1no llook at the drawing ^^^^

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.1dw:1439571972434:dw there should be 3 terms

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0so would I have to make up another because we only have 2

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.1well you don't make up you need to know how to foil method works let's try box method to foil binomial dw:1439572122692:dw write one parentheses at the top of the box and one left side now start multiplying terms

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0because of b times b

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0but that would b^2 wouldn't it

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.1yes right so how did you get 2b ?

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.1dw:1439572443606:dw now multiply a+b by b and write it down in the box

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0dw:1439572494627:dw