Question

Evaluate (using formulae): $\frac{0.87\times 0.87+2\times 0.87\times 0.13+0.13\times 0.13}{0.87+0.13}$

• A. $0.57$
• B. $1.54$
• C. $0.5$
  
• D. $1$

Answer 1

Answer: (D)

$1$

Given: $\frac{0.87\times 0.87+2\times 0.87\times 0.13+0.13\times 0.13}{0.87+0.13}$
$=\frac{(0.87{)}^2+2\times 0.87\times 0.13+(0.13{)}^2}{1}$
$=(0.87+0.13{)}^2$ ......[ $\because a^2+2ab+b^2=(a+b{)}^2$]
$=1^2$
$=1$