Question

Which expression is an equivalent expression of 12x + 10 + 4y? A. 2(6x + 2y + 6) B. 3(4x + y + 10) C. 2(6x + 4y + 8) D. 2(6x + 5 + 2y)

Answer 1

SOLUTION

TO DETERMINE

The expression which is an equivalent expression of 12x + 10 + 4y

A. 2(6x + 2y + 6)

B. 3(4x + y + 10)

C. 2(6x + 4y + 8)

D. 2(6x + 5 + 2y)

EVALUATION

Here the given expression is

$\sf{12x + 10 + 4y}$

Now

$\sf{12x = 2 \times 2 \times 3 \times x}$

$10 = 2 \times 5$

$\sf{4y = 2 \times 2 \times y}$

So common factor = 2

Hence

$\sf{12x + 10 + 4y}$

$\sf{ = 2(6x + 5 + 2y)}$

Which is the required equivalent expression

FINAL ANSWER

Hence the correct option is

D. 2(6x + 5 + 2y)

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