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fenix001 [56]
3 years ago
6

Multiply 2(x+3)/x(x-1)*4x(x+2)/10(x+3)

Mathematics
1 answer:
KIM [24]3 years ago
6 0

Answer:

The expression simplifies to \frac{4(x+2)}{5(x-1)}.

Step-by-step explanation:

The expression

\frac{2(x+3)}{x(x-1)} *\frac{4x(x+2)}{10(x+3)}

can be rearranged and written as

\frac{8x(x+3)(x+2)}{10x(x-1)(x+3)}.

In this form the (x+3) terms in the numerator and in the denominator cancel to give

\frac{8x(x+2)}{10x(x-1)}.

The x's are present both in the numerator and in the denominator, so they also cancel, and the fraction \frac{8}{10} simplifies to \frac{4}{5}, so finally our expression becomes:

\boxed{\frac{4(x+2)}{5(x-1)}}

Which is our answer:)

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