Simplify: $12 x^{3} - 3 (2 x^{3} + 4 x - 1) - 5 x + 7$

Open in App

Solution

First expand the term $- 3 (2 x^{3} + 4 x - 1)$
$12 x^{3} - 3 (2 x^{3} + 4 x - 1) - 5 x + 7 = 12 x^{3} - 6 x^{3} - 12 x + 3 - 5 x + 7$
Group like terms
$= 6 x^{3} - 17 x + 10$

Suggest Corrections

Similar questions

- 4 x (5 x^{2} - 12) + 7 (x + 5)

Simplify: $\frac{1}{x^{2} - 3 x + 2} + \frac{1}{x^{2} - 5 x + 6} + \frac{1}{x^{2} - 4 x + 3}$

4 x - 1

p (x) = 32 x^{3} + 8 x^{2} - 4 x

\frac{1}{x^{2} + 3 x + 2} + \frac{1}{x^{2} + 5 x + 6} - \frac{2}{x^{2} + 4 x + 3}

Simplify the expressions and find the value if x is equal to 2

(i) x + 7 + 4 (x − 5) (ii) 3 (x + 2) + 5x − 7

(iii) 6x + 5 (x − 2) (iv) 4 (2x −1) + 3x + 11

Join BYJU'S Learning Program