Question
Divide: $9a^4b - 15a^3b^2 + 12a^2b^3 by - 3a^2b$
✓
Answer
$9 a^4 b-15 a^3 b^2+12 a^2 b^3 b y-3 a^2 b$
$=\frac{9 a^4 b-15 a^3 b^2+12 a^2 b^3}{-3 a^2 b}$
$=\frac{9 a^4}{-3 a^2 b}-\frac{15 a^3 b^2}{-3 a^2 b}+\frac{12 a^2 b^3}{-3 a^2 b}$
$=-3 a^2+5 a b-4 b^2$
$=\frac{9 a^4 b-15 a^3 b^2+12 a^2 b^3}{-3 a^2 b}$
$=\frac{9 a^4}{-3 a^2 b}-\frac{15 a^3 b^2}{-3 a^2 b}+\frac{12 a^2 b^3}{-3 a^2 b}$
$=-3 a^2+5 a b-4 b^2$
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