Question

Divide:5xy²- 18x²y³+6xy by 6xy​

Answer 1

Your answer in attachment

Answer 2

$\underline{\pink{ Division \: of \:a\: polynomial \:by \:a \: monomial : }}$

$\red{(5xy^{2} - 18x^{2}y^{3}+6xy)\div (6xy) }$

$= \frac{5xy^{2}}{6xy} -\frac{ 18x^{2}y^{3}}{6xy} +\frac{6xy}{6xy}$

$= \frac{5}{6}y - 3xy^{2} + 1$

Therefore.,

$\red{(5xy^{2} - 18x^{2}y^{3}+6xy)\div (6xy)}$

$\green {= \frac{5}{6}y - 3xy^{2} + 1}$

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