Question

factor the expression completely.
$54 + 45x$
factor the expression completely.
$35x^2 + 63x^4$

Explanation:

Step1: Find GCF of 54 and 45

GCF of 54 and 45 is 9.

Step2: Factor out GCF from first expression

$54 + 45x = 9(6 + 5x)$

Step3: Find GCF of terms in second expression

GCF of $35x^2$ and $63x^4$ is $7x^2$.

Step4: Factor out GCF from second expression

$35x^2 + 63x^4 = 7x^2(5 + 9x^2)$

Answer:

1. $9(6 + 5x)$
2. $7x^2(5 + 9x^2)$