Question

Simplify the expression x^2+3x-28/x^2-7x+12

Answer 1

X^2 + 3x - 28 factors to (X+7)(X-4)
X^2 - 7X + 12 factors to (X-4)(X-3)
Now we see that the equation is [(X+7)(X-4)]/[(X-4)(X-3)]
By dividing the top and bottom by (X-4), we see that the equation equals (X+7)/(X-3).

Answer 2

`(x+7)/(x-3)`.

Explanation:

We have been given an expression. We are asked to simplify our given expression.

`(x^2+3x-28)/(x^2-7x+12)`

Let us factor numerator and denominator by splitting the middle term.

`(x^2+7x-4x-28)/(x^2-4x-3x+12)`

`((x^2+7x)+(-4x-28))/((x^2-4x)+(-3x+12))`

Factor out GCF of each group:

`(x(x+7)-4(x+7))/(x(x-4)-3(x-4))`

`((x+7)(x-4))/((x-4)(x-3))`

Cancel out common factor
`(x-4)`:

`((x+7))/((x-3))`

Therefore, the simplified form of the given expression would be
`(x+7)/(x-3)`.