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Multiplication of Any Polynomial

Multiply 2p...

Question

Multiply $(2 p q + 3 q^{2})$ and $(3 p q - 2 q^{2})$

A

6 p^{2} q^{2} + 4 p q^{3} + 6 q^{4}

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B

6 p^{2} q^{2} + 5 q^{3} + 6 q^{4}

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C

6 p^{2} q^{2} + 3 p q^{3} + 6 q^{4}

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D

6 p^{2} q^{2} + 5 p q^{3} - 6 q^{4}

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Solution

The correct option is C $6 p^{2} q^{2} + 5 p q^{3} - 6 q^{4}$
$(2 p q + 3 q^{2}) \times (3 p q - 2 q^{2})$
$= 2 p q (3 p q - 2 q^{2}) + 3 q^{2} (3 p q - 2 q^{2})$
$= 6 p^{2} q^{2} - 4 p q^{3} + 9 p q^{3} - 6 q^{4}$
$= 6 p^{2} q^{2} + 5 p q^{3} - 6 q^{4}$

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