Simplify:

(3a + 4)(2a − 3) + (5a − 4)(a + 2)

Open in App

Solution

$\begin{array}{l} We have: \\ (3 a + 4) (2 a - 3) + (5 a - 4) (a + 2) \\ = {3 a (2 a - 3) + 4 (2 a - 3)} + {5 a (a + 2) - 4 (a + 2)} \\ = (6 a^{2} - 9 a + 8 a - 12) + (5 a^{2} + 10 a - 4 a - 8) \\ = (6 a^{2} - a - 12) + (5 a^{2} + 6 a - 8) \\ = (11 a^{2} + 5 a - 20) \end{array}$

Suggest Corrections

Similar questions

a^{2} + 4 a^{2} - 3 a + 6 - 10 + 5 a

a^{2} - 2 a + {5 a^{2} - (3 a - 4 a^{2})}

10 a^{2} - 5 a

1

0

{(4 a - 7 b)}^{2} - {(3 a)}^{2}

Simplify $3 a^{2} (5 a^{2} - 3 a - 24)$ and also find its value for

(i) a = 1 (ii) a = 2. [3 MARKS]

Join BYJU'S Learning Program