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Tems11 [23]
2 years ago
5

What is the fully factored form of 32a3 + 12a2?

Mathematics
2 answers:
Alex2 years ago
8 0

Answer: 4a^2(8a+3)

Step-by-step explanation:

The given algebraic expression : 32a^3 + 12a^2

Here , the prime factorization of 32a^3 \text{ and } 12a^2 are:

32a^3=2\times2\times2\times2\times2\times a\times a

12\ a^2=2\times 2\times 3\times a\times a

Greatest Common factor (GCF)= 2\times2\times a\times a= 4a^2

Taking the GCF out of the each term of the expression , we get

32a^3 + 12a^2\\\\=4a^2\times 8a +4a^2\times 3\\\\=4a^2(8a+3)

Hence, the fully factored form of 32a^3 + 12a^2=4a^2(8a+3)

vlada-n [284]2 years ago
6 0
When I factored it I got 4a^2(8a+3)
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