Question

Subtract — 7x^2 + 4x + 2 from x^2 – 3.

Answer 1

We are required to subtract -7x^2+4x+2 from x^2-3.

This is written as:

$(x^2-3)-(-7x^2+4x+2)$

First, we open the brackets

$=x^2-3+7x^2-4x-2$

Next, we collect like terms and simplify:

$\begin{gathered} =x^2+7x^2-4x-3-2 \\ =8x^2-4x-5 \end{gathered}$

Therefore:

$(x^2-3)-(-7x^2+4x+2)=8x^2-4x-5$