Find the product of $2 x^{2} - 12 x y + 9 y^{2}$ and $x + y$

2 x^{3} + 9 y^{3} - 10 x^{2} y - 3 x y^{2}

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2 x^{3} + 4 y^{3} - 10 x^{2} y - 3 x y^{2}

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2 x^{3} + 9 y^{3} - 5 x^{2} y - 3 x y^{2}

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x^{3} + 9 y^{3} - 10 x^{2} y - 3 x y^{2}

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Solution

The correct option is A $2 x^{3} + 9 y^{3} - 10 x^{2} y - 3 x y^{2}$
$2 x^{2} - 12 x y + 9 y^{2} \times (x + y)$
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$2 x^{3} - 12 x^{2} y + 9 x y^{2}$
$2 x^{2} y - 12 x y^{2} + 9 y^{3}$
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$2 x^{3} - 10 x^{2} y - 3 x y^{2} + 9 y^{3}$

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Question 60 (a)

What should be subtracted from $2 x^{3} - 3 x^{2} y + 2 x y^{2} + 3 y^{3}$ to get $x^{3} - 2 x^{2} y + 3 x y^{2} + 4 y^{3} ?$

(x + y) (2 x - 5 y + 3 x y)

2 x^{2} - 3 x y + 3 x^{2} y + 3 x y^{2} - 5 y^{2}

Identify the terms in the expression 5 x^{2} y + 3 x y^{2} .

\frac{d y}{d x}

x^{3} + 2 x^{2} y + 3 x y^{2} + 4 y^{3} = 5

x = 2 {cos}^{3} θ, y = 2 {sin}^{3} θ

y = {sin}^{- 1} (2 x \sqrt{1 - x^{2}}); - 1 \leq x \leq 1

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