Question 71

In the following question, state whether the statement is True (T) or False (F):

Common factors of $11 p q^{2}, 121 p^{2} q^{3}, 1331 p^{2} q$ is $11 p^{2} q^{2} .$

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Solution

False
We have,
$11 p q^{2} = 11 \times p \times q \times q$
$121 p^{2} q^{3} = 11 \times 11 \times p \times p \times q \times q \times q$
$1331 p^{2} q = 11 \times 11 \times 11 \times p \times p \times q$
$∴$ Common factor $= 11 \times p \times q = 11 p q$

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