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ive heard of it before but I cant remember how it goes

alright how would i apply that to this problem?

I'm sorry im still confused? are we to plug in numbers or just the letters?

well we don't have to
i just change cos and sin with a b to make it a little bit easier

oh okay I understand whats next?

|dw:1439570120307:dw|
multiply both terms by a
a times a - a times b = ?

a^2 - b times a?

yes right
-b(a-b) =?

ot would it just be (a-b)^2

no

oh alright! and then it would be a times b -b^2?

well it is -b(a-b)
signs!!!

-b times a = ?

wouldn't it just equal -b times a because you cant multiply those variables?

yes negative ab
-ab so -b times -b = ??

-2b?

no b times b is b^2 is right but there is sign mistake
negative times negative = ?

oh right sorry it would just be 2b

or b^2

yes right

the b^2 is right or 2b?

b^2 when you multiply same bases you should add their exponents

now write it together|dw:1439570550698:dw|
\[\huge\rm a^2-ab-ab+b^2\] combine like terms

would you just end up with a^2+b^2

-ab-ab=??

i thought they would just cancel each other out. but if they don't wouldn't it be ab^2

-ab-ab is same as \[\huge\rm \color{red}{-1}ab\color{red}{-1}ab=(-1-1)ab\]

alright i understand that

so it's equal to -2ab ? right or no?

yes?

i'm asking yes or no ?

yes

-ab-ab is same as \[\huge\rm \color{red}{-1}ab\color{red}{-1}ab=(-1-1)ab=-2ab\]

foil (a-b)^2=a^2-2ab+b^2?

yea that's for (a-b)^2
now foil (a+b)^2

I'm sorry I really don't understand?

like i said (a+b)^2 is same as (a+b)(a+b) now just multiply like we did for (a-b)^2

would it just be a^2+b^2

no llook at the drawing ^^^^

a^2+2b^2+2?

|dw:1439571972434:dw|
there should be 3 terms

so would I have to make up another because we only have 2

so a^2+b^2+ab+2b

how did you get 2b ?

because of b times b

but that would b^2 wouldn't it

yes right
so how did you get 2b ?

|dw:1439572443606:dw|
now multiply a+b by b and write it down in the box

|dw:1439572494627:dw|