What is (9x^2+7x-6)-(3x^2-8x+7) ?

The solution to (9x^2+7x-6)-(3x^2-8x+7) is 6x^2+15x-13

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simplify (9x^2+7x-6)-(3x^2-8x+7)

simplify

(9 x^{2} + 7 x - 6) - (3 x^{2} - 8 x + 7)

6 x^{2} + 15 x - 13

Solution steps

(9 x^{2} + 7 x - 6) - (3 x^{2} - 8 x + 7)

Apply rule:

(a) = a

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

= 9 x^{2} + 7 x - 6 - (3 x^{2} - 8 x + 7)

Apply the distributive law:

- (a - b) = - a + b

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

= 9 x^{2} + 7 x - 6 - 3 x^{2} + 8 x - 7

Group like terms

= 9 x^{2} - 3 x^{2} + 7 x + 8 x - 6 - 7

Add similar elements:

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

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

Add similar elements:

7 x + 8 x = 15 x

= 6 x^{2} + 15 x - 6 - 7

Subtract the numbers:

- 6 - 7 = - 13

= 6 x^{2} + 15 x - 13

2 x \cdot 3

3 x \times x

(- 6 x^{2} - 3 x - 1) - (x + 8)

(x + y + z) (x + y - z)

- 3 (1 - 5 x)

What is (9x^2+7x-6)-(3x^2-8x+7) ?
The solution to (9x^2+7x-6)-(3x^2-8x+7) is 6x^2+15x-13