Question

What is the product?

2a-7 over a times 3a^2 over 2a^2-11a+14
a) 3 over a -2
b) 3a over a-2
c) 3a over a+2
d) 3 over a+2

Answer 1

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

Answer 2

The correct option is b.

Explanation:

We have to find the product of
`(2a-7)/(a)` and
`(3a^2)/(2a^2-11a+14)`.

Multiply both terms.

`(2a-7)/(a)* (3a^2)/(2a^2-11a+14)`

Cancel out the common factor a from numerator and denominator.

`(2a-7)/(1)* (3a)/(2a^2-7a-4a+14)`

`(2a-7)/(1)* (3a)/(a(2a-7)-2(2a-7))`

`(2a-7)/(1)* (3a)/((2a-7)(a-2))`

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

`(1)/(1)* (3a)/(a-2)`

`(3a)/(a-2)`

Therefore, the correct option is b.