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

The solution to (x^2+10x)-(-4x^2-x+10) is 5x^2+11x-10

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

simplify

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

5 x^{2} + 11 x - 10

Solution steps

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

Apply rule:

(a) = a

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

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

Apply the distributive law:

- (- a - b) = a + b

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

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

Group like terms

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

Add similar elements:

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

= 5 x^{2} + 10 x + x - 10

Add similar elements:

10 x + x = 11 x

= 5 x^{2} + 11 x - 10

2 y^{2} - 50

\frac{1}{x}

\frac{8 ^{3}}{4 ^{3}}

11 \cdot (- 2)

(- 4) (5)

What is (x^2+10x)-(-4x^2-x+10) ?
The solution to (x^2+10x)-(-4x^2-x+10) is 5x^2+11x-10