Question

What is the missing term? (10x – 4x2) – (7x + ?) = 3x – 6x2

Answer 1

Let

b----------> the missing term

we have

`(10x - 4x^(2) )- (7x + b) = 3x - 6x^(2)`

Combine like terms in the left side

`(10x-7x)+(-b - 4x^(2)) = 3x - 6x^(2)`

`(3x)+(-b - 4x^(2)) = 3x - 6x^(2)`

Simplify

`(-b - 4x^(2)) = - 6x^(2)`

`b = 6x^(2)-4x^(2)`

`b = 2x^(2)`

therefore

the answer is

the missing term is equal to
`2x^(2)`

Answer 2

10x-4x^2-(7x+y)=3x-6x^2

2x^2+7x=7x+y

2x^2=y

check...

(10x-4x^2)-(7x+2x^2)=3x-6x^2

3x-6x^2=3x-6x^2

1=1

correct