What is (9x^2-9x-7)-(x^2-6x-2) ?

The solution to (9x^2-9x-7)-(x^2-6x-2) is 8x^2-3x-5

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simplify (9x^2-9x-7)-(x^2-6x-2)

simplify

(9 x^{2} - 9 x - 7) - (x^{2} - 6 x - 2)

8 x^{2} - 3 x - 5

Solution steps

(9 x^{2} - 9 x - 7) - (x^{2} - 6 x - 2)

Apply rule:

(a) = a

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

= 9 x^{2} - 9 x - 7 - (x^{2} - 6 x - 2)

Apply the distributive law:

- (a - b) = - a + b

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

= 9 x^{2} - 9 x - 7 - x^{2} + 6 x + 2

Group like terms

= 9 x^{2} - x^{2} - 9 x + 6 x - 7 + 2

Add similar elements:

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

= 8 x^{2} - 9 x + 6 x - 7 + 2

Add similar elements:

- 9 x + 6 x = - 3 x

= 8 x^{2} - 3 x - 7 + 2

Add the numbers:

- 7 + 2 = - 5

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

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

(- 10 x^{2} + 4 x) - (- 4 x^{2} + 6 x + 8)

16 (x + y)^{2} - 25 (x - 2 y)^{2}

What is (9x^2-9x-7)-(x^2-6x-2) ?
The solution to (9x^2-9x-7)-(x^2-6x-2) is 8x^2-3x-5