Question
Simplify:
$(1.5 p+1.2 q)^2-(1.5 p-1.2 q)^2$
$(1.5 p+1.2 q)^2-(1.5 p-1.2 q)^2$
✓
Answer
$(1.5 p+1.2 q)^2-(1.5 p-1.2 q)^2$
$= [(1.5p + 1.2q) + (1.5p - 1.2q)][(1.5p + 1.2q) - (1.5p − 1.2q)]$
$= [(1.5p + 1.5p) + (1.2q - 1.2q)][(1.5p - 1.5p) + (1.2q + 1.2q)]$
$= 3p × 2.4q$
$= 7.2pq$
$= [(1.5p + 1.2q) + (1.5p - 1.2q)][(1.5p + 1.2q) - (1.5p − 1.2q)]$
$= [(1.5p + 1.5p) + (1.2q - 1.2q)][(1.5p - 1.5p) + (1.2q + 1.2q)]$
$= 3p × 2.4q$
$= 7.2pq$
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