What is (3x^2+10)-(-7x^2-9x) ?

The solution to (3x^2+10)-(-7x^2-9x) is 10x^2+9x+10

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simplify (3x^2+10)-(-7x^2-9x)

simplify

(3 x^{2} + 10) - (- 7 x^{2} - 9 x)

10 x^{2} + 9 x + 10

Solution steps

(3 x^{2} + 10) - (- 7 x^{2} - 9 x)

Apply rule:

(a) = a

(3 x^{2} + 10) = 3 x^{2} + 10

= 3 x^{2} + 10 - (- 7 x^{2} - 9 x)

Apply the distributive law:

- (- a - b) = a + b

- (- 7 x^{2} - 9 x) = 7 x^{2} + 9 x

= 3 x^{2} + 10 + 7 x^{2} + 9 x

Group like terms

= 3 x^{2} + 7 x^{2} + 9 x + 10

Add similar elements:

3 x^{2} + 7 x^{2} = 10 x^{2}

= 10 x^{2} + 9 x + 10

9 a^{3} + a

(x + 5)^{2} - x^{2}

(a + 6) (a - 6) - a^{2}

x^{4} + 64 x

(- 4 x^{5} y z^{3}) (- 3 x y) (x^{6})

What is (3x^2+10)-(-7x^2-9x) ?
The solution to (3x^2+10)-(-7x^2-9x) is 10x^2+9x+10