Simplify the following: 0.76 0.76+2 0.76 0.24+0.24 0.24 - Vidyadip

Question

Simplify the following:
$0.76 \times 0.76+2 \times 0.76 \times 0.24+0.24 \times 0.24$

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Answer

We have,
$0.76 \times 0.76+2 \times 0.76 \times 0.24+0.24 \times 0.24$
$=(0.76+0.24)^2\left[a^2+b^2+2 a b=(a+b)^2\right]$
$=(1.00)^2[\text { Where } a=0.76 \text { and } b=0.24]$
$=1$
Therefore, $0.76 \times 0.76+2 \times 0.76 \times 0.24+0.24 \times 0.24=1$

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