Question

Which of the following is/are factor(s) of
$49p^2-36?$

• A. $(7p-6)$
• B. $(7p+6)$
• C. $(5p+6)$
• D. $(6p+7)$

Answer 1

Answer: (A), (B)

The correct options are
A $(7p-6)$
B $(7p+6)$

The given expression can be written as,
$49p^2-36=(7p{)}^2-(6{)}^2$
$\text{[Using the identity:}{a}^2-b^2=(a+b)(a-b)]$
$=(7p+6)(7p-6)$

$\text{Hence,}(7p+6)and(7p-6)$
are the factors of $49p^2-36.$