Question

Simplify the given expression:
$\frac{0.85\times 0.85\times 0.85+0.15\times 015\times 0.15}{0.85\times 0.85-0.85\times 0.15+0.15\times 0.15}$

• A.
  0
• B.
  1
• C.
  0.85
• D.
  8.15

Answer 1

The correct option is B

1
Let $0.85=a,0.15=b\frac{a^3+b^3}{a^2-ab+b^2}=\frac{(a+b)(a^2-ab+b^2)}{(a^2-ab+b^2)}=a+b=0.85+0.15=1$
Hence, the correct answer is option (b)