What is the corredt answer?

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2 Answers
Mar 3, 2018

3x1+412x=2x+1(x1)(2x1)

Explanation:

We begin by bringing the two terms under a common denominator:
3x1+412x=3(12x)(x1)(12x)+4(x1)(x1)(12x)

Now we can just add the numerators:
3(12x)+4(x1)(x1)(12x)=36x+4x4(x1)(12x)=

=12x(x1)(12x)

Bring out a minus on both the top and bottom, making them cancel:
(2x+1)(x1)((1+2x))=(2x+1)(x1)(2x1)=

=2x+1(x1)(2x1) which is option C

Mar 3, 2018

C

Explanation:

3x1+412x

=36x+4x4(x1)(12x)

=2x+1(x1)(12x)

=2x+1(x1)(2x1) (multiplied (12x) with the negative sign)