Determine the value of 'x', if $$x = \frac{{{{\left( {943 + 864} \right)}^2} - {{\left( {943 - 864} \right)}^2}}}{{\left( {1886 \times 1728} \right)}}$$
A. 1
B. 4
C. 79
D. 1789
Answer: Option A
Solution(By Examveda Team)
$$\eqalign{ & a = 943\,\,\therefore 2a = 1886 \cr & b = 864\,\,\therefore 2b = 1728 \cr & \therefore {\text{Expression}} \cr & = \frac{{{{\left( {a + b} \right)}^2} - {{\left( {a - b} \right)}^2}}}{{2a \times 2b}} \cr & = \frac{{4ab}}{{4ab}} \cr & = 1 \cr} $$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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