lizz123
  • lizz123
Medal @freckles Perform the operations using adding and subtracting polynomials.
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
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lizz123
  • lizz123
\[7x - [2\left( x ^{2} -z\right) + 4x ^{2} -7z] + 6z ^{2}\]
freckles
  • freckles
ok so let's do any distributing needed a(b+c)=ab+ac
freckles
  • freckles
let's begin with the 2(x^2-z) thing

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freckles
  • freckles
can apply the distributive property there
freckles
  • freckles
\[2(x^2-z) \\ \text{ here we are just going \to multiply the two terms inside the ( ) \by 2 } \\ 2(x^2)-2(z)=2x^2-2z\]
freckles
  • freckles
so now you have \[7x-[2x^2-2z+4x^2-7z]+6z^2\]
freckles
  • freckles
you have one more area to apply distributive property
freckles
  • freckles
do you see the - in front of the [ ]?
freckles
  • freckles
drop the [ ] and just change the sign to each term inside the [ ] this is the same as multiplying by -1
freckles
  • freckles
I will let you try this part
lizz123
  • lizz123
So, \[7x - [ (2x^{2} -2z)+4x ^{2} -7z] +6\]
lizz123
  • lizz123
\[7x + [ -2x ^{2}+2z -4x ^{2}+7z]+6\]
freckles
  • freckles
yep
freckles
  • freckles
now combine like terms
freckles
  • freckles
\[+7x\\ -2x^2-4x^2=? \\ 2z+7z=? \\+ 6\]
lizz123
  • lizz123
|dw:1434404812374:dw|
freckles
  • freckles
|dw:1434404949777:dw| that is the only term I have a problem with
lizz123
  • lizz123
|dw:1434404992422:dw|
freckles
  • freckles
but notice I also circled the + in front of the 4x^2
freckles
  • freckles
that should be a -2x^2-4x^2 which is -6x^2
lizz123
  • lizz123
how come
freckles
  • freckles
how come there is a - in front of 4x^2?
freckles
  • freckles
or how come -2-4 is -6?
freckles
  • freckles
earlier you had written this: \[7x + [ -2x ^{2}+2z -4x ^{2}+7z]+6\] there is a - in front of 2x^2 and a - in front of 4x^2
freckles
  • freckles
-(2+4)=-(6)=-6
freckles
  • freckles
so -2x^2-4x^2=-6x^2
lizz123
  • lizz123
oh yeah
lizz123
  • lizz123
i get it. Thank you very much. I really appreciate it.
freckles
  • freckles
|dw:1434405199854:dw|
freckles
  • freckles
good job though on the other terms :)

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