What is (-5x^2+5x-5)-(3x^2+x) ?

The solution to (-5x^2+5x-5)-(3x^2+x) is -8x^2+4x-5

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simplify (-5x^2+5x-5)-(3x^2+x)

simplify

(- 5 x^{2} + 5 x - 5) - (3 x^{2} + x)

- 8 x^{2} + 4 x - 5

Solution steps

(- 5 x^{2} + 5 x - 5) - (3 x^{2} + x)

Apply rule:

(a) = a

(- 5 x^{2} + 5 x - 5) = - 5 x^{2} + 5 x - 5

= - 5 x^{2} + 5 x - 5 - (3 x^{2} + x)

Apply the distributive law:

- (a + b) = - a - b

- (3 x^{2} + x) = - 3 x^{2} - x

= - 5 x^{2} + 5 x - 5 - 3 x^{2} - x

Group like terms

= - 5 x^{2} - 3 x^{2} + 5 x - x - 5

Add similar elements:

- 5 x^{2} - 3 x^{2} = - 8 x^{2}

= - 8 x^{2} + 5 x - x - 5

Add similar elements:

5 x - x = 4 x

= - 8 x^{2} + 4 x - 5

(10 x^{2} + 8 x - 5) - (- 9 x^{2} - 3 x - 4)

(- 6 x^{2} + 3 x) + (- x + 6)

(- 2 x^{2} + 3 x - 4) - (- x^{2} + 4 x - 4)

(a^{2} - 3 a)^{2}

(9 x + 9) + (- 9 x^{2} - 8 x + 6)

What is (-5x^2+5x-5)-(3x^2+x) ?
The solution to (-5x^2+5x-5)-(3x^2+x) is -8x^2+4x-5