What is (9x^2-9x+1)-(12x^2-x-6) ?

The solution to (9x^2-9x+1)-(12x^2-x-6) is -3x^2-8x+7

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simplify (9x^2-9x+1)-(12x^2-x-6)

simplify

(9 x^{2} - 9 x + 1) - (12 x^{2} - x - 6)

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

Solution steps

(9 x^{2} - 9 x + 1) - (12 x^{2} - x - 6)

Apply rule:

(a) = a

(9 x^{2} - 9 x + 1) = 9 x^{2} - 9 x + 1

= 9 x^{2} - 9 x + 1 - (12 x^{2} - x - 6)

Apply the distributive law:

- (a - b) = - a + b

- (12 x^{2} - x - 6) = - 12 x^{2} + x + 6

= 9 x^{2} - 9 x + 1 - 12 x^{2} + x + 6

Group like terms

= 9 x^{2} - 12 x^{2} - 9 x + x + 1 + 6

Add similar elements:

9 x^{2} - 12 x^{2} = - 3 x^{2}

= - 3 x^{2} - 9 x + x + 1 + 6

Add similar elements:

- 9 x + x = - 8 x

= - 3 x^{2} - 8 x + 1 + 6

Add the numbers:

1 + 6 = 7

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

7 (- 3)

5 x \cdot 2

e^{3.1}

1 + 243 x^{5}

(9^{2})^{3}

What is (9x^2-9x+1)-(12x^2-x-6) ?
The solution to (9x^2-9x+1)-(12x^2-x-6) is -3x^2-8x+7