Divide : 15x^3y^2 + 25x^2y^3 − 36x^4y^4 by 5x^2y^2 - Vidyadip

Question

Divide $: 15x^3y^2 + 25x^2y^3 − 36x^4y^4$ by $5x^2y^2$

✓

Answer

$15 x^3 y^2+25 x^2 y^3-36 x^4 y^4 \text { by } 5 x^2 y^2$
$=\frac{15 x^3 y^2+25 x^2 y^3-36 x^4 y^4}{5 x^2 y^2}$
$=\frac{15 x^3 y^2}{5 x^2 y^2}+\frac{25 x^2 y^3}{5 x^2 y^2}-\frac{36 x^4 y^4}{5 x^2 y^2}$
$=3 x^{3-2} \cdot y^{2-2}+5 x^{2-2} \cdot y^{3-2}-\frac{36}{5} x^{4-2} \cdot y^{4-2}$
$=3 x^1 y^0+5 x^0 y^1-\frac{36}{5} x^2 y^2$
$=3 x+5 y-\frac{36}{5} x^2 y^2 \ldots \ldots \ldots . .\left(\because x^0 \text { or } y^0=1\right)$

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