Simplify 2(u-v)(2u+3v)/4u+6v

Correct Answer is : (u−v)(u-v)(u−v)

Correct Answer is : (u−v)(u-v)(u−v)

Test Index

BECE Mathematics 2017 Paper

Question : 18

Total: 40

Simplify

\frac{2(u-v)(2u+3v)}{4u+6v}

Solution:

Concept:

Factor the denominator and cancel common factors.

Explanation:

The given expression is

\frac{2(u-v)(2u+3v)}{4u+6v}

Factor the denominator:

4u+6v = 2(2u+3v)

Substitute into the fraction:

\frac{2(u-v)(2u+3v)}{2(2u+3v)}

Cancel the common factors

2

and

(2u+3v)

(u-v)

So the simplified form is

(u-v)

Answer:

The correct option is D.

(u-v)

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