Question

Subtraction of $pq+6p^2-2q^2$ from $9p^2+2pq-3q^2$ will give the expression .

• A. $5p^2-2pq-q^2$
• B. $5p^2-2pq-q^2$
• C. $5p^2-2pq-q^2$
• D. $3p^2+pq-q^2$

Answer 1

The correct option is D $3p^2+pq-q^2$

The simplified form of the first expression is $-6p^2+4pq-2q^2$.

The simplified form of the second expession is $9p^2+2pq-3q^2$.

Subtracting the second expression from the first expression, we get,

$=(9p^2+2pq-3q^2-(6p^2+pq-2q^2)$

Rearranging and subtracting the like terms, we get,

$=(9p^2-6p^2)+(2pq-pq)+(-3q^2+2q^2)$

$=3p^2+pq-q^2$