Question

Medal

@freckles

Perform the operations using adding and subtracting polynomials.

Answer 1

\[7x - [2\left( x ^{2} -z\right) + 4x ^{2} -7z] + 6z ^{2}\]

Answer 2

ok so let's do any distributing needed
a(b+c)=ab+ac

Answer 3

let's begin with the 2(x^2-z) thing

Answer 4

can apply the distributive property there

Answer 5

\[2(x^2-z) \\ \text{ here we are just going \to multiply the two terms inside the ( ) \by 2 } \\ 2(x^2)-2(z)=2x^2-2z\]

Answer 6

so now you have
\[7x-[2x^2-2z+4x^2-7z]+6z^2\]

Answer 7

you have one more area to apply distributive property

Answer 8

do you see the - in front of the [ ]?

Answer 9

drop the [ ] and just change the sign to each term inside the [ ]
this is the same as multiplying by -1

Answer 10

I will let you try this part

Answer 11

So,
\[7x - [ (2x^{2} -2z)+4x ^{2} -7z] +6\]

Answer 12

\[7x + [ -2x ^{2}+2z -4x ^{2}+7z]+6\]

Answer 13

yep

Answer 14

now combine like terms

Answer 15

\[+7x\\ -2x^2-4x^2=? \\ 2z+7z=? \\+ 6\]