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Nuetrik [128]
2 years ago
9

What is the product?

Mathematics
2 answers:
Alexxandr [17]2 years ago
6 0

Answer:

Option B.

Step-by-step explanation:

The given expression is

\dfrac{2a-7}{a}\times \dfrac{3a^2}{2a^2-11a+14}

We need to find the product.

The given expression can be rewritten as

\dfrac{2a-7}{a}\times \dfrac{3a^2}{2a^2-7a-4a+14}

\dfrac{2a-7}{a}\times \dfrac{3a^2}{a(2a-7)-2(2a-7)}

=\dfrac{2a-7}{a}\times \dfrac{3a^2}{(2a-7)(a-2)}

=\dfrac{(2a-7)3a^2}{a(2a-7)(a-2)}

Cancel out the common factors.

=\dfrac{3a}{a-2}

So, \dfrac{2a-7}{a}\times \dfrac{3a^2}{2a^2-11a+14}=\dfrac{3a}{a-2}

Therefore, the correct option is B.

masya89 [10]2 years ago
3 0

Answer:

Therefore, the correct option is B.

Step-by-step explanation:

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