What is (8x^2+10)-(6x-2) ?

The solution to (8x^2+10)-(6x-2) is 8x^2-6x+12

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simplify (8x^2+10)-(6x-2)

simplify

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

8 x^{2} - 6 x + 12

Solution steps

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

Apply rule:

(a) = a

(8 x^{2} + 10) = 8 x^{2} + 10

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

Apply the distributive law:

- (a - b) = - a + b

- (6 x - 2) = - 6 x + 2

= 8 x^{2} + 10 - 6 x + 2

Group like terms

= 8 x^{2} - 6 x + 10 + 2

Add the numbers:

10 + 2 = 12

= 8 x^{2} - 6 x + 12

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