Multiply : $(a^{2} + b)$ and $(a + b^{2})$

a^{2} + a^{2} b^{2} + a b - b^{3}

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a^{3} + a^{2} b^{2} + a b + b^{3}

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a^{3} + a^{2} b^{2} - a b + b^{3}

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a^{2} + a^{2} b^{3} + a b + b^{3}

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Solution

The correct option is B $a^{3} + a^{2} b^{2} + a b + b^{3}$
$(a^{2} + b) (a + b^{2})$
$= a^{2} (a + b^{2}) + b (a + b^{2})$
$= a^{3} + a^{2} b^{2} + a b + b^{3}$

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Similar questions

a^{3} - a^{2} b^{2} - a b + b^{3}

x = 1 + a + a^{2} + a^{3} + . . . . . \infty

y = 1 + b + b^{2} + b^{3} + . . . . . \infty

1 + a b + a^{2} b^{2} + . . . . \infty = \frac{x y}{x + y - 1}

x = 1 + a + a^{2} + a^{3} + . . .

y = 1 + b + b^{2} + b^{3} + . . . .

1 + a b + a^{2} b^{2} + a^{3} b^{3} + . . . = \frac{x y}{x + y - 1}

(a^{2} - b^{2}) (a^{2} + a b + b^{2}) - a^{3} + b^{3}

(\frac{a^{3} - b^{3}}{a^{2} + b^{2} + a b})

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