What is x^2+7x-7(x^2+x) ?

The solution to x^2+7x-7(x^2+x) is -6x^2

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simplify x^2+7x-7(x^2+x)

simplify

x^{2} + 7 x - 7 (x^{2} + x)

- 6 x^{2}

Solution steps

x^{2} + 7 x - 7 (x^{2} + x)

Expand

- 7 (x^{2} + x) : - 7 x^{2} - 7 x

= x^{2} + 7 x - 7 x^{2} - 7 x

Group like terms

= x^{2} - 7 x^{2} + 7 x - 7 x

Add similar elements:

x^{2} - 7 x^{2} = - 6 x^{2}

= - 6 x^{2} + 7 x - 7 x

Add similar elements:

7 x - 7 x = 0

= - 6 x^{2}

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