Question

Evaluate (using formulae): $\frac{0.46\times 0.46+2\times 0.46\times 0.14+0.14\times 0.14}{0.46\times 0.46-0.14\times 0.14}$

• A. $1.333$
• B. $1.875$
• C. $6.5$
  
• D. $5.25$

Answer 1

The correct option is B $1.875$

The given equation can be written as

$\frac{{0.46}^2+{0.14}^2-2\left(0.46\right)\left(0.14\right)}{{0.46}^2-{0.14}^2}$

$=\frac{{(0.46+0.14)}^2}{(0.46+0.14)(0.46-0.14)}$ ....By using $[a^2-b^2=(a+b)(a-b)]$

$=\frac{(0.46+0.14)}{(0.46-0.14)}=\frac{0.6}{0.32}$

$=1.875$