Question

find the square of [a + 1/2a]

Answer 1

(9a^2)/4

Step-by-step explanation:

$(a + \frac{1}{2} a) ^{2} \\ = {a}^{2} + ( \frac{1}{2} a) ^{2} + (2 \times a \times \frac{1}{2} a) \\ = {a}^{2} + \frac{a^{2} }{4} + {a}^{2} \\ = 2 {a}^{2} + \frac{ {a}^{2} }{4} = \frac{8 {a}^{2} + {a}^{2} }{4} \\ = \frac{9 {a}^{2} }{4}$