Question

What is the missing term to make $49p^2-42pq+(?)$ a perfect square?

• A. $9q^2$
• B. $3q^2$
• C. $9q$
• D. $9p^2{q}^2$

Answer 1

The correct option is A $9q^2$

$49p^2-42pq+(?)=(7p{)}^2-2\times 7p\times (3q)+(-3q{)}^2$
$=(7p-3q{)}^2$
Missing term $=(-3q{)}^2=9q^2$