How do I factor this expression: 3(x + 5)^3 + 2(x + 5)^2?

[mathdad]

Precalculus by David Cohen, 3rd Edition
Chapter 1, Section 1.3.
Question 46a.

Factor the expression.

3(x + 5)^3 + 2(x + 5)^2

(x + 5)^2[3(x + 5) + 2]

(x + 5)^2[3x + 15 + 2]

(x + 5)^2[3x + 17]

Correct?

 

[kaliprasad]

Precalculus by David Cohen, 3rd Edition
Chapter 1, Section 1.3.
Question 46a.

Factor the expression.

3(x + 5)^3 + 2(x + 5)^2

(x + 5)^2[3(x + 5) + 2]

(x + 5)^2[3x + 15 + 2]

(x + 5)^2[3x + 17]

Correct?

yes

 

[MarkFL]

Looks good to me. :D

 

[mathdad]

There are a few more factoring questions from section 1.3 that will be posted in the coming days as I travel from chapter to chapter and section to section in the precalculus textbook, 3rd edition by David Cohen.