Question

Factorize 15pq + 15 + 9q + 25p gives

• A. $(9p+3)(7q+5)$
• B. $(5p+3)(5q+5)$
• C. $(5p+3)(3q+5)$
• D. $(3p+5)(3q+5)$

Answer 1

The correct option is C $(5p+3)(3q+5)$

$15pq+15+9q+25p$

$=15pq+9q+25p+15$

$=3\times 5\times p\times q+3\times 3\times q+5\times 5\times p+3\times 5$

$=3q(5p+3)+5(5p+3)$

$=(5p+3)(3q+5)$