Question

(5x^2+7xy-y^2)-(4x^2-xy-2y) what’s the new expression?

Answer 1

Given expression:

`(5x^2+7xy-y^2)-(4x^2-xy-2y)`

To simplify the expression, we apply the rules of BODMAS.

First, we open the bracket. Recall that:

`\begin{gathered} -\text{ }*\text{ - = +} \\ -\text{ }*\text{ + = -} \end{gathered}`

When we open the bracket, we have:

`=5x^2+7xy-y^2-4x^2+xy+2y^{}`

Collect like terms:

`\begin{gathered} =5x^2-4x^2-y^2+2y^{}\text{ + 7xy + xy} \\ =x^2-y^2+2y\text{ +8xy} \end{gathered}`

Hence, the new expression is:

`=x^2-y^2\text{ + 2y + 8xy}`