Question

7x(5x+3)-(25x^2+10x-7)

Answer 1

`10x^2+11x+7`

Explanation:

Given the expression:

`7x(5x+3)-(25x^2+10x-7)`

Use distributive property:

`7x(5x+3)=7x\cdot 5x+7x\cdot 3=35x^2+21x\\ \\7x(5x+3)-(25x^2+10x-7)=35x^2+21x-(25x^2+10x-7)`

Open brackets:

`35x^2+21x-(25x^2+10x-7)=35x^2+21x-25x^2-10x+7`

Combine the like terms:

`35x^2+21x-25x^2-10x+7=(35x^2-25x^2)+(21x-10x)+7=10x^2+11x+7`