Question

What is the product?

Answer 1

Answer:

The correct option is b.

Step-by-step explanation:

We have to find the product of $\frac{2a-7}{a}$  and  $\frac{3a^2}{2a^2-11a+14}$.

Multiply both terms.

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

Cancel out the common factor a from numerator and denominator.

$\frac{2a-7}{1}\times \frac{3a}{2a^2-7a-4a+14}$

$\frac{2a-7}{1}\times \frac{3a}{a(2a-7)-2(2a-7)}$

$\frac{2a-7}{1}\times \frac{3a}{(2a-7)(a-2)}$

Cancel out the common factor (2a-7) from numerator and denominator.

$\frac{1}{1}\times \frac{3a}{a-2}$

$\frac{3a}{a-2}$

Therefore, the correct option is b.

Answer 2

This question involves factoring and multiplying equations so just follow along my procedures in the image