Factor out the greatest common factor from each polynomial. 5(a+3)^{3}-2(a+3)+(a+3)^{2}

hvacwk

hvacwk

Answered question

2021-12-10

Factor out the greatest common factor from each polynomial.
5(a+3)32(a+3)+(a+3)2

Answer & Explanation

nghodlokl

nghodlokl

Beginner2021-12-11Added 33 answers

Step 1
Consider the given expression as
5(a+3)32(a+3)+(a+3)2
Step 2
Simplify as
5(a+3)32(a+3)+(a+3)2=(a+3)[5(a+2)22+(a+3)]
=(a+3)[5(a2+4+4a)2+a+3]
=(a+3)(5a2+20+20a2+a+3)
=(a+3)(5a2+21a+21)
=(a+3)(5a2+21a+21)

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