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

(x+7) / (x-3)

Step-by-step explanation:

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

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

= [x (x+7) - 4 (x+7) ] / [x (x-4) - 3 (x-4) ]

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

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

Simplify means to reduce the size of any number. In this factorization math, we have to simplify those factors, and then divide (x-4) from both denominator and numerator to simplify the result.