The factors of (a2 + 4b2 + 4b - 4ab - 2a - 8) are?
A. (a - 2b - 4)(a - 2b + 2)
B. (a - b - 2)(a + 2b + 2)
C. (a + 2b - 4)(a + 2b + 2)
D. (a + 2b - 4)(a - 2b + 2)
Answer: Option A
Solution(By Examveda Team)
$$\eqalign{ & {a^2} + 4{b^2} + 4b - 4ab - 2a - 8 \cr & = {a^2} - 4ab + 4{b^2} - 2a + 4b - 8 \cr & = {\left( {a - 2b} \right)^2} - 2\left( {a - 2b} \right) - 8 \cr & {\text{Put }} t = a - 2b \cr & = {t^2} - 2t - 8 \cr & = {t^2} - 4t + 2t - 8 \cr & = t\left( {t - 4} \right) + 2\left( {t - 4} \right) \cr & = \left( {t + 2} \right)\left( {t - 4} \right) \cr & = \left( {a - 2b - 4} \right)\left( {a - 2b + 2} \right) \cr & \left( {{\text{Put the value of assume }}t} \right) \cr} $$Related Questions on Algebra
If $$p \times q = p + q + \frac{p}{q}{\text{,}}$$ then the value of 8 × 2 is?
A. 6
B. 10
C. 14
D. 16
A. $$1 + \frac{1}{{x + 4}}$$
B. x + 4
C. $$\frac{1}{x}$$
D. $$\frac{{x + 4}}{x}$$
A. $$\frac{{20}}{{27}}$$
B. $$\frac{{27}}{{20}}$$
C. $$\frac{6}{8}$$
D. $$\frac{8}{6}$$
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