Question

multiple choice 1 point what is the gcf of the terms: 15a³b² and 25a³b³ 5a²b² 5a³b³ 10ab 25a³b³

Explanation:

Step1: Factor coefficients

Factor 15 and 25:
$15 = 3 \times 5$
$25 = 5 \times 5$
Greatest common factor of 15 and 25 is 5.

Step2: Find GCF of $a$-terms

For $a^3$ and $a^2$: the lowest exponent is 2, so GCF is $a^2$.

Step3: Find GCF of $b$-terms

For $b^2$ and $b^3$: the lowest exponent is 2, so GCF is $b^2$.

Step4: Combine all GCF parts

Multiply the GCF of coefficients, $a$-terms, and $b$-terms:
$5 \times a^2 \times b^2 = 5a^2b^2$

Answer:

$5a^2b^2$ (Option 1)