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

The solution to (9x^2+8x)-(2x^2+3x) is 7x^2+5x

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simplify (9x^2+8x)-(2x^2+3x)

simplify

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

7 x^{2} + 5 x

Solution steps

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

Apply rule:

(a) = a

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

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

Apply the distributive law:

- (a + b) = - a - b

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

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

Group like terms

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

Add similar elements:

9 x^{2} - 2 x^{2} = 7 x^{2}

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

Add similar elements:

8 x - 3 x = 5 x

= 7 x^{2} + 5 x

(\frac{x ^{- 1} y ^{2} z ^{4}}{z ^{5} x ^{2} y ^{- 1}})^{- 3}

- 20 + - 45

1 - tan^{2} (θ)

\frac{9 n}{2 n} \cdot \frac{7}{5 n}

3 \cdot \frac{3}{3}