What is (8x^2+8x)-(-9x^2+8x) ?

The solution to (8x^2+8x)-(-9x^2+8x) is 17x^2

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simplify (8x^2+8x)-(-9x^2+8x)

simplify

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

17 x^{2}

Solution steps

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

Apply rule:

(a) = a

(8 x^{2} + 8 x) = 8 x^{2} + 8 x

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

Apply the distributive law:

- (- a + b) = a - b

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

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

Group like terms

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

Add similar elements:

8 x^{2} + 9 x^{2} = 17 x^{2}

= 17 x^{2} + 8 x - 8 x

Add similar elements:

8 x - 8 x = 0

= 17 x^{2}

lo g_{10} (500)

(7 x^{2} - 2) - (2 x^{2} - 5 x + 3)

2 \cdot (- 5)

\frac{16}{7}

(x - 5) (x + 6)