What number must be added to the expression 16a2 - 12a to make a perfect square ?
A. $$\frac{9}{4}$$
B. $$\frac{{11}}{2}$$
C. $$\frac{{13}}{2}$$
D. 16
Answer: Option A
Solution(By Examveda Team)
$$\eqalign{ & {\left( {a - b} \right)^2} = {a^2} + {b^2} + 2ab \cr & 16{a^2} - {\text{12}}a \cr & = {(4a)^2} - 2 \times 4a \times \frac{3}{2} + {\left( {\frac{3}{2}} \right)^2} \cr & {\text{Number be added}} \cr & {\text{ = }}{\left( {\frac{3}{2}} \right)^2} \cr & = \frac{9}{4} \cr} $$Related Questions on Simplification
A. 20
B. 80
C. 100
D. 200
E. None of these
A. Rs. 3500
B. Rs. 3750
C. Rs. 3840
D. Rs. 3900
E. None of these
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