Simplify : \frac{0.05 \times 0.05 \times0.05-0.04 \times 0.04 \times 0.04}{0.05 \times 0.05+0.002+0.04 \times 0.04}

RRB RPF RPSF SI and CONS Model Papers 8 with solutions

Question : 62 of 120

Marks: +1, -0

Simplify :

{0.05 × 0.05 ×0.05-0.04 × 0.04 × 0.04}/{0.05 × 0.05+0.002+0.04 × 0.04}

Solution:

(3) Using the formula

a^{3}-b^{3}=(a-b)\ (a^{2}+a b+b^{2} )

?= {0.05 × 0.05 ×0.05-0.04 × 0.04 × 0.04}/{0.05 × 0.05+0.002+0.04 × 0.04}

= {(0.05)^{3}-(0.04)^{3}}/{(0.05)^{2}+0.05 × 0.4+(0.04)^{2}}

= 0.05 – 0.04 = 0.01

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