Question

factor the following by taking out the greatest common factor.
$6a^2 + 24a + 30$
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question 2 0/1 pt 3 99 details
factor the following by taking out the greatest common factor.
$8a^3 - 5a^2$
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Explanation:

Step1: Find GCF of coefficients/terms

For $6a^2 + 24a + 30$: GCF of 6,24,30 is 6.

Step2: Factor out the GCF

$6a^2 + 24a + 30 = 6(a^2 + 4a + 5)$

Step3: Find GCF of second expression

For $8a^3 - 5a^2$: GCF of $8a^3,5a^2$ is $a^2$.

Step4: Factor out the GCF

$8a^3 - 5a^2 = a^2(8a - 5)$

Answer:

$6(a^2 + 4a + 5)$
$a^2(8a - 5)$