What is (3x^2+2x-9)-(4x^2-6x+3) ?

The solution to (3x^2+2x-9)-(4x^2-6x+3) is -x^2+8x-12

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simplify (3x^2+2x-9)-(4x^2-6x+3)

simplify

(3 x^{2} + 2 x - 9) - (4 x^{2} - 6 x + 3)

- x^{2} + 8 x - 12

Solution steps

(3 x^{2} + 2 x - 9) - (4 x^{2} - 6 x + 3)

Apply rule:

(a) = a

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

= 3 x^{2} + 2 x - 9 - (4 x^{2} - 6 x + 3)

Apply the distributive law:

- (a - b) = - a + b

- (4 x^{2} - 6 x + 3) = - 4 x^{2} + 6 x - 3

= 3 x^{2} + 2 x - 9 - 4 x^{2} + 6 x - 3

Group like terms

= 3 x^{2} - 4 x^{2} + 2 x + 6 x - 9 - 3

Add similar elements:

3 x^{2} - 4 x^{2} = - x^{2}

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

Add similar elements:

2 x + 6 x = 8 x

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

Subtract the numbers:

- 9 - 3 = - 12

= - x^{2} + 8 x - 12

\frac{0.02}{3}

\frac{\frac{1}{x - 1} + 1}{\frac{1}{x ^{2} - 1} + 1}

x^{2} (x^{2} + 4)

8 (54 - 69)

0.19

What is (3x^2+2x-9)-(4x^2-6x+3) ?
The solution to (3x^2+2x-9)-(4x^2-6x+3) is -x^2+8x-12