Question

factor $9b^3a^3 - 63ba - 72b$.

a. $9b(a^3b^2 - 7a - 8)$
b. $b(9a^3b^2 - 63a - 72)$
c. $9b^3(a^3 - 7a - 8)$
d. $9ab(ab^2 - 7ab - 8b)$

Explanation:

Step1: Identify GCF of terms

Find GCF of $9b^3a^3$, $63ba$, $72b$.
GCF = $9b$

Step2: Factor out GCF from each term

$\frac{9b^3a^3}{9b} - \frac{63ba}{9b} - \frac{72b}{9b} = a^3b^2 -7a -8$

Step3: Write factored expression

Combine GCF and remaining terms: $9b(a^3b^2 - 7a - 8)$

Answer:

a. $9b(a^3b^2 - 7a - 8)$