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factor 48 + 56. write your answer in the form a(b + c) where a is the g…

Question

factor 48 + 56. write your answer in the form a(b + c) where a is the gcf of 48 and 56.

Explanation:

Step1: Find GCF of 48 and 56

Prime factors: $48=2^4\times3$, $56=2^3\times7$. GCF is $2^3=8$.

Step2: Divide terms by GCF

$\frac{48}{8}=6$, $\frac{56}{8}=7$

Step3: Factor out GCF

Rewrite as $8\times(6+7)$

Answer:

$8(6 + 7)$