Question

Simplify the expression 4x−8/ x+3x−10 .

a) 4(x−2)
b) x²+3x−10
c) 4(x−2)
d) (x+5)(x−2)

Answer 1

The expression 4x-8 over x+3x-10 simplifies to 4(x-2) after factoring and canceling out common terms.

Step-by-step explanation:

To simplify the given expression 4x−8 over x+3x−10, one must combine like terms and factor when possible. First, combining the terms in the denominator gives us 4x. Next, notice that the numerator is 4x−8, which can be factored to 4(x−2). Therefore, the simplification process allows us to cancel out the 4 in the numerator and denominator, leaving us with x−2. The entire expression simplifies to 4(x−2)