Question

A water company drills 2 wells to provide additional water for a small community. The cost in dollars to drill and service

Answer 1

The expression 16y² + 48y in factored form is 16y(y+4) and the GCF of 16 and 48 is 16.

Given that A water company drills 2 wells to provide additional water for a small community. The cost in dollars to drill and service the wells for y years is represented by the expression 16y² + 48y and asked to factorize the equation

Factorization:

A number or other mathematical object is factored (or factorised, see variants in English spelling) or factored by a number of factors, often smaller or simpler things of the same sort.

⇒16y² + 48y=16y(y+4)

G.C.F:

The greatest common factor, which is the product of two or more numbers, is the biggest number (GCF). A natural number is created by dividing them by the biggest number (factor). There are a few factors that both share once all the number's components have been identified. The greatest common factor is the one with the largest number among the common factors. The highest common factor is another name for the GCF (HCF)

The highest common factor of 16 and 48 is 16

Therefore, G.C.F of 16 and 48 is 16      

Therefore,The expression 16y² + 48y in factored form is 16y(y+4) and the GCF of 16 and 48 is 16.

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