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Finding the Value of an Expression

If x = 6 an...

Question

If $x = 6$ and $y = 2$ , what is the value of $3 x y + 2 x^{2} y^{3}$ ?

612

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418

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510

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520

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516

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Solution

The correct option is A $612$
Given, $x = 6, y = 2$
To solve for $3 x y + 2 x^{2} y^{3}$
$3 x y + 2 x^{2} y^{3}$
$\Rightarrow x y (3 + 2 x y^{2})$
$\Rightarrow 6 \times 2 (3 + 2 \times 6 {(2)}^{2})$
$\Rightarrow 12 (3 + 48)$
$\Rightarrow 12 \times 51$
$\Rightarrow 612$

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