What is (8x-10)-(9x^2+7x-2) ?

The solution to (8x-10)-(9x^2+7x-2) is -9x^2+x-8

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simplify (8x-10)-(9x^2+7x-2)

simplify

(8 x - 10) - (9 x^{2} + 7 x - 2)

- 9 x^{2} + x - 8

Solution steps

(8 x - 10) - (9 x^{2} + 7 x - 2)

Apply rule:

(a) = a

(8 x - 10) = 8 x - 10

= 8 x - 10 - (9 x^{2} + 7 x - 2)

Apply the distributive law:

- (a + b) = - a - b

- (9 x^{2} + 7 x - 2) = - 9 x^{2} - 7 x + 2

= 8 x - 10 - 9 x^{2} - 7 x + 2

Group like terms

= - 9 x^{2} + 8 x - 7 x - 10 + 2

Add similar elements:

8 x - 7 x = x

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

Add the numbers:

- 10 + 2 = - 8

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

32 \frac{1}{5}

2 (x + 10)

(2 y - 4)^{2}

\frac{x - 4}{x ^{2} - x - 12}

- 4 x^{2} - 42 x + 22