What is (9x^2-10x+1)-(-2x^2+4x-10) ?

The solution to (9x^2-10x+1)-(-2x^2+4x-10) is 11x^2-14x+11

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simplify (9x^2-10x+1)-(-2x^2+4x-10)

simplify

(9 x^{2} - 10 x + 1) - (- 2 x^{2} + 4 x - 10)

11 x^{2} - 14 x + 11

Solution steps

(9 x^{2} - 10 x + 1) - (- 2 x^{2} + 4 x - 10)

Apply rule:

(a) = a

(9 x^{2} - 10 x + 1) = 9 x^{2} - 10 x + 1

= 9 x^{2} - 10 x + 1 - (- 2 x^{2} + 4 x - 10)

Apply the distributive law:

- (- a + b) = a - b

- (- 2 x^{2} + 4 x - 10) = 2 x^{2} - 4 x + 10

= 9 x^{2} - 10 x + 1 + 2 x^{2} - 4 x + 10

Group like terms

= 9 x^{2} + 2 x^{2} - 10 x - 4 x + 1 + 10

Add similar elements:

9 x^{2} + 2 x^{2} = 11 x^{2}

= 11 x^{2} - 10 x - 4 x + 1 + 10

Add similar elements:

- 10 x - 4 x = - 14 x

= 11 x^{2} - 14 x + 1 + 10

Add the numbers:

1 + 10 = 11

= 11 x^{2} - 14 x + 11

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What is (9x^2-10x+1)-(-2x^2+4x-10) ?
The solution to (9x^2-10x+1)-(-2x^2+4x-10) is 11x^2-14x+11