What is (10x^2+3x+9)-(-4x^2+7x-8) ?

The solution to (10x^2+3x+9)-(-4x^2+7x-8) is 14x^2-4x+17

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simplify (10x^2+3x+9)-(-4x^2+7x-8)

simplify

(10 x^{2} + 3 x + 9) - (- 4 x^{2} + 7 x - 8)

14 x^{2} - 4 x + 17

Solution steps

(10 x^{2} + 3 x + 9) - (- 4 x^{2} + 7 x - 8)

Apply rule:

(a) = a

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

= 10 x^{2} + 3 x + 9 - (- 4 x^{2} + 7 x - 8)

Apply the distributive law:

- (- a + b) = a - b

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

= 10 x^{2} + 3 x + 9 + 4 x^{2} - 7 x + 8

Group like terms

= 10 x^{2} + 4 x^{2} + 3 x - 7 x + 9 + 8

Add similar elements:

10 x^{2} + 4 x^{2} = 14 x^{2}

= 14 x^{2} + 3 x - 7 x + 9 + 8

Add similar elements:

3 x - 7 x = - 4 x

= 14 x^{2} - 4 x + 9 + 8

Add the numbers:

9 + 8 = 17

= 14 x^{2} - 4 x + 17

(3 a^{2} - a + 5)^{2}

\frac{2}{3} \div \frac{3}{2}

2 a + 2 a

7 a^{2} (b)

(\frac{x}{2} + 4)^{3}

What is (10x^2+3x+9)-(-4x^2+7x-8) ?
The solution to (10x^2+3x+9)-(-4x^2+7x-8) is 14x^2-4x+17