What is (9t^2+7t)-(-5t^2-8t+5) ?

The solution to (9t^2+7t)-(-5t^2-8t+5) is 14t^2+15t-5

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simplify (9t^2+7t)-(-5t^2-8t+5)

simplify

(9 t^{2} + 7 t) - (- 5 t^{2} - 8 t + 5)

14 t^{2} + 15 t - 5

Solution steps

(9 t^{2} + 7 t) - (- 5 t^{2} - 8 t + 5)

Apply rule:

(a) = a

(9 t^{2} + 7 t) = 9 t^{2} + 7 t

= 9 t^{2} + 7 t - (- 5 t^{2} - 8 t + 5)

Apply the distributive law:

- (- a - b) = a + b

- (- 5 t^{2} - 8 t + 5) = 5 t^{2} + 8 t - 5

= 9 t^{2} + 7 t + 5 t^{2} + 8 t - 5

Group like terms

= 9 t^{2} + 5 t^{2} + 7 t + 8 t - 5

Add similar elements:

9 t^{2} + 5 t^{2} = 14 t^{2}

= 14 t^{2} + 7 t + 8 t - 5

Add similar elements:

7 t + 8 t = 15 t

= 14 t^{2} + 15 t - 5

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

\frac{y ^{7} y ^{0}}{y ^{10}}

(x^{2} - 12 x + 27) (x - 9)

(2 x^{2} - \frac{1}{x})^{5}

(3 a + 7 b - 9) - (5 a + 9 b + 21)

What is (9t^2+7t)-(-5t^2-8t+5) ?
The solution to (9t^2+7t)-(-5t^2-8t+5) is 14t^2+15t-5