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Factor. A.) 54y + 6 B.) 42x + 36 y + 12

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asked May 24, 2014 in ALGEBRA 1 by marleney Novice

2 Answers

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A) The expression is 54y + 6

Take out common term

= 6(9y + 1)

Factoring of 54y + 6 = 6(9y + 1)

B)The expression is 42x + 36y + 12

Take out common term

= 6(7x + 6y + 2)

Factoring of 42x + 36y + 12 = 6(7x + 6y + 2)

answered May 24, 2014 by david Expert
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(A).

The expression is 54y + 6.

First find the GCF of 54y and 6.

Factor the each monomial and Circle the common prime factors.

image

The product of the common prime factors, 2 · 3 or 6, is called the greatest common factor of 54y and 6.

Write each term as the product of the GCF and its remaining factors.Then use the Distributive Property to factor out the GCF.

54y + 6 = 6(3 · 3 · y) + 6(1)

             = 6(9y) + 6(1)

             = 6(9y + 1).

The completely factored form of 54y + 6 is 6(9y + 1).

(B).

The expression is 42x + 36y + 12.

First find the 42x, 36y and 12.

Factor the each monomial and Circle the common prime factors.

image

GCF : 2 · 3 or 6.

Write each term as the product of the GCF and its remaining factors.Then use the Distributive Property to factor out the GCF.

42x + 36y + 12 = 6(7 · x) + 6(2 · 3 · y) + 6(2)

                        = 6(7x) + 6(6y) + 6(2)

                        = 6(7x + 6y + 2).

The completely factored form of 42x + 36y + 12 is 6(7x + 6y + 2).

answered May 24, 2014 by steve Scholar

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