How do you write an expression that represents a factorization of 32m + 56mp?

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Answer 1 · 2016-11-16T07:44:10

$8 m (4 + 7 p)$ $8m(4+7p)$

In factoring, always look for a common factor first.

$32 m + 56 m p \leftarrow$ $32m+56mp" "larr$ the HCF is 8m

$= 8 m (4 + 7 p)$ $=8m(4+7p)$

If you do not spot the HCF at first, you can factor a second time or even a third time until there are no common factors.

$32 m + 56 m p$ $32m +56mp$

= $4 m (8 m + 14 p) \leftarrow$ $4m(8m +14p)" "larr$ there is still a common factor of 2

= $2 \times 4 m (4 + 7 p)$ $2xx4m(4+7p)$

= $8 m (4 + 7 p)$ $8m(4+7p)$