Question
Simplify the following:
$0.76 \times 0.76+2 \times 0.76 \times 0.24+0.24 \times 0.24$
$0.76 \times 0.76+2 \times 0.76 \times 0.24+0.24 \times 0.24$
✓
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, $0.76 \times 0.76+2 \times 0.76 \times 0.24+0.24 \times 0.24=1$
$0.76 \times 0.76+2 \times 0.76 \times 0.24+0.24 \times 0.24$
$=(0.76+0.24)^2\left[a^2+b^2+2 a b=(a+b)^2\right]$
$=(1.00)^2[\text { Where } a=0.76 \text { and } b=0.24]$
$=1$
Therefore, $0.76 \times 0.76+2 \times 0.76 \times 0.24+0.24 \times 0.24=1$
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