The difference of squares (integers) — task. Mathematics CBSE, Class 7.

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Factor the following expression:

{(p + 12 q)}^{2} - {(12 p + q)}^{2}

Choose the correct answer:

$(-11 p + 11 q) \cdot (13 p + 13 q)$
$(p^{2} + {144 q}^{2}) \cdot ({144 p}^{2} + q^{2})$
$(p^{2} + 24 p q + {144 q}^{2}) - ({144 p}^{2} + {24 p q + q}^{2})$
none of these expressions
$-143 p^{2} + 143 q^{2}$
$143 (p^{2} - q^{2})$

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