Question
Simplify the following:
$322 \times 322-2 \times 322 \times 22+22 \times 22$
$322 \times 322-2 \times 322 \times 22+22 \times 22$
✓
Answer
We have,
$322 \times 322-2 \times 322 \times 22+22 \times 22$
$=(322-22)^2\left[a^2+b^2-2 a b=(a-b)^2\right]$
$=(300)^2[\text { Where } a=322 \text { and } b=22]$
$=90000$
Therefore, $322 \times 322-2 \times 322 \times 22+22 \times 22=90000$.
$322 \times 322-2 \times 322 \times 22+22 \times 22$
$=(322-22)^2\left[a^2+b^2-2 a b=(a-b)^2\right]$
$=(300)^2[\text { Where } a=322 \text { and } b=22]$
$=90000$
Therefore, $322 \times 322-2 \times 322 \times 22+22 \times 22=90000$.
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