What is (9x^2-8)-(-4x^2-5x) ?

The solution to (9x^2-8)-(-4x^2-5x) is 13x^2+5x-8

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simplify (9x^2-8)-(-4x^2-5x)

simplify

(9 x^{2} - 8) - (- 4 x^{2} - 5 x)

13 x^{2} + 5 x - 8

Solution steps

(9 x^{2} - 8) - (- 4 x^{2} - 5 x)

Apply rule:

(a) = a

(9 x^{2} - 8) = 9 x^{2} - 8

= 9 x^{2} - 8 - (- 4 x^{2} - 5 x)

Apply the distributive law:

- (- a - b) = a + b

- (- 4 x^{2} - 5 x) = 4 x^{2} + 5 x

= 9 x^{2} - 8 + 4 x^{2} + 5 x

Group like terms

= 9 x^{2} + 4 x^{2} + 5 x - 8

Add similar elements:

9 x^{2} + 4 x^{2} = 13 x^{2}

= 13 x^{2} + 5 x - 8

\frac{2}{3} \div \frac{1}{2}

lo g_{3} (30)

(- 1 + i 3)^{- 2}

\frac{f}{f - g} - \frac{g}{g - f}

6 \times 8