What is (8x^2-6x+2)-(3x^2+7x-4) ?

The solution to (8x^2-6x+2)-(3x^2+7x-4) is 5x^2-13x+6

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simplify (8x^2-6x+2)-(3x^2+7x-4)

simplify

(8 x^{2} - 6 x + 2) - (3 x^{2} + 7 x - 4)

5 x^{2} - 13 x + 6

Solution steps

(8 x^{2} - 6 x + 2) - (3 x^{2} + 7 x - 4)

Apply rule:

(a) = a

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

= 8 x^{2} - 6 x + 2 - (3 x^{2} + 7 x - 4)

Apply the distributive law:

- (a + b) = - a - b

- (3 x^{2} + 7 x - 4) = - 3 x^{2} - 7 x + 4

= 8 x^{2} - 6 x + 2 - 3 x^{2} - 7 x + 4

Group like terms

= 8 x^{2} - 3 x^{2} - 6 x - 7 x + 2 + 4

Add similar elements:

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

= 5 x^{2} - 6 x - 7 x + 2 + 4

Add similar elements:

- 6 x - 7 x = - 13 x

= 5 x^{2} - 13 x + 2 + 4

Add the numbers:

2 + 4 = 6

= 5 x^{2} - 13 x + 6

\frac{3}{x ^{2} - 25} - \frac{2}{x + 5}

(r + 4) (r + 6)

(2 x - 1)^{6}

ab x^{2} + (a^{2} + b^{2}) x + ab

What is (8x^2-6x+2)-(3x^2+7x-4) ?
The solution to (8x^2-6x+2)-(3x^2+7x-4) is 5x^2-13x+6