Question

Find the common irreducible factors of
$12a^{2}band15a{b}^2.$

• A. $2,a\text{and}b$
• B. $3,a\text{and}b$
• C. $2,a\text{and}{b}^2$
• D. $3,a^2\text{and}b$

Answer 1

The correct option is B $3,a\text{and}b$

$12a^{2}b\text{can be factorized as,}12a^{2}b=2\times 2\times 3\times a\times a\times b$

$15a{b}^2\text{can be factorized as,}15a{b}^2=3\times 5\times a\times b\times b$

$\therefore \text{The common factors are}3,a,\text{and}b.$