Question

Factorize $5xy{z}^2-3zy$

• A. $yz(5xz-3)$
• B. $yz(5yz-3)$
• C. $xz(5xz-3y)$
• D. None of these

Answer 1

The correct option is A $yz(5xz-3)$

We know that $a(b+c)=ab+ac$ and the reverse process $ab+ac=a(b+c)$ is called taking out the common factor.

Consider the factorization of the expression $5xy{z}^2-3zy$:

$5xy{z}^2=5\times x\times y\times z\times z3zy=3\times z\times y$

$\Rightarrow HCF(5xy{z}^2,3zy)=z\times y=yz$

Therefore, we have:

$5xy{z}^2-3zy=(5\times x\times y\times z\times z)-(3\times z\times y)=yz(5xz-3)$

Hence, $5xy{z}^2-3zy=yz(5xz-3)$.