How to rewrite the sum as a product of the GCF of the addends and another number

Mathematics

1 answer:

V125BC [204]3 years ago

8 0

Explanation:

Suppose you have the sum P+Q, and that P and Q have a GCF of g. Then the two terms P and Q can be written as ...

P = g·p
Q = g·q

Using the distributive property, we can rewrite the sum as ...

P + Q = g·p +g·q = g(p +q) . . . . . g is the GCF; (p+q) is the other number

_____

Example:

P = 48 = 8·6

Q = 40 = 8·5

g = 8, p=6, q=5

P + Q = 48 + 40 = 8(6 +5) = 8·11

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