Question

When multiplying a-3 over 2a^2-7a and 4a-14 over a+3, what are the term(s) that can be cancelled

Answer 1

is the equation in the question written like the one in the bottom? Because for me to help you I must confirm what the equation looks like.

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

Answer 2

The term (2a-7) can be cancelled.

Explanation:

We are given the following expression and we are to simplify it and see which terms get cancelled out:

`\frac {a-3} {2a^2 - 7a }` ×
`\frac { 4a - 14} {a + 3}`

Taking the common terms out to simplify it:

`(a-3)/(a(2a-7))` ×
`(2(2a-7))/(a+3)`

Here, the term
`(2a-7)` get cancelled so we are left with:

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