What is (-8x^2-3x)-(x^2+6x-10) ?

The solution to (-8x^2-3x)-(x^2+6x-10) is -9x^2-9x+10

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simplify (-8x^2-3x)-(x^2+6x-10)

simplify

(- 8 x^{2} - 3 x) - (x^{2} + 6 x - 10)

- 9 x^{2} - 9 x + 10

Solution steps

(- 8 x^{2} - 3 x) - (x^{2} + 6 x - 10)

Apply rule:

(a) = a

(- 8 x^{2} - 3 x) = - 8 x^{2} - 3 x

= - 8 x^{2} - 3 x - (x^{2} + 6 x - 10)

Apply the distributive law:

- (a + b) = - a - b

- (x^{2} + 6 x - 10) = - x^{2} - 6 x + 10

= - 8 x^{2} - 3 x - x^{2} - 6 x + 10

Group like terms

= - 8 x^{2} - x^{2} - 3 x - 6 x + 10

Add similar elements:

- 8 x^{2} - x^{2} = - 9 x^{2}

= - 9 x^{2} - 3 x - 6 x + 10

Add similar elements:

- 3 x - 6 x = - 9 x

= - 9 x^{2} - 9 x + 10

\frac{1}{tan ( 2 z )}

\frac{x ^{2} - 4}{x ^{2} + 3 x + 2}

1 \cdot 2^{- 4}

(3 x + 3) (3 x - 3)

(x + 3) \cdot (x - 1)

What is (-8x^2-3x)-(x^2+6x-10) ?
The solution to (-8x^2-3x)-(x^2+6x-10) is -9x^2-9x+10