Question
Solve:
$25-p^2-q^2-2 p q$
$25-p^2-q^2-2 p q$
✓
Answer
$25- p ^2- q ^2-2 pq$
$=25-\left(p^2+2 p q+q^2\right)$
$=5^2-\left(p^2+2 \times p \times q+q^2\right)$
$=5^2-(p+q)^2$
$=[5-(p+q)][5+(p+q)]$
$=(5-p+q)(5+p+q)$
$=-(p+q-5)(p+q+5)$
$=25-\left(p^2+2 p q+q^2\right)$
$=5^2-\left(p^2+2 \times p \times q+q^2\right)$
$=5^2-(p+q)^2$
$=[5-(p+q)][5+(p+q)]$
$=(5-p+q)(5+p+q)$
$=-(p+q-5)(p+q+5)$
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