Question

What is the product?

Answer 1

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.

Answer 2

Answer:

Therefore, the correct option is B.

Step-by-step explanation: