Simplify the following: \frac{0.3 \times0.3+0.03\times 0.03-0.6 \times 0.03}{0.54}

CMAT 2020 Solved Question Paper

Question : 21 of 100

Marks: +1, -0

Simplify the following:

{0.3 ×0.3+0.03× 0.03-0.6 × 0.03}/{0.54}

Solution:

{0.3 × 0.3+0.03 × 0.03-0.6×0.03}/{0.54}

= {(0.3)^{2}+(0.03)^{2}-2 × 0.3×0.03}/{0.54}

[a^{2}+b^{2}-2 a b=(a-b)^{2} ]

= {(0.3-0.03)^{2}}/{0.54}= {(0.27)^{2}}/{0.54}

= {0.27 ×0.27}/{0.54}= {0.27}/{2}=0.135

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