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Question

Divide:
42y3 by 32y2

A
$\dfrac{4}{3}y$
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B
$\displaystyle \frac{1}{3}y$
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C
$\displaystyle \frac{7}{3} y$
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D
$\displaystyle \frac{13}{3}y$
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Solution

The correct option is A $\dfrac{4}{3}y4 \sqrt2 y^3\div 3 \sqrt2 y^2=\displaystyle \frac { 4\sqrt { 2 } y^{ 3 } }{ 3\sqrt { 2 } y^{ 2 } } =\frac { 2\times 2\times \sqrt { 2 } \times y\times y\times y }{ 3\times \sqrt { 2 } \times y\times y } =\displaystyle \frac {4y} {3}$

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