Factorise the expression: $7 p^{2} + 21 q^{2}$

7 (p^{2} + q^{2})

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(p^{2} - 3 q^{2})

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7 (p^{2} + 3 q^{2})

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(p q^{2} + 3 q^{2})

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Solution

The correct option is C $7 (p^{2} + 3 q^{2})$
$7 p^{2} + 21 q^{2}$
$= 7 \times p \times p + 7 \times 3 \times q \times q$
$= 7 (p^{2} + 3 q^{2})$

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