Answer these questions about the steps of simplifying this rational expression: Part A What is the GCF of the terms in the numerator and denominator? Rewrite the expression by factoring out any common factors.

Part B Write the quadratic expressions in the numerator and the denominator in factored form.

Part C Cancel the common factor of the numerator and the denominator to write the expression in simplified form.

x²

Step-by-step explanation:

4x²-14x+6

x²-7x²+12x

=2×2×x×x-2×7×x+2×3

x×x×x-7×x×x+2×2×3

= -2+2

x×x

the 2s cancle each other

= x²

a. she will receive a refund of $278.

step-by-step explanation:

example 2 – simplify: step 1: completely factor both the numerators and denominators of all fractions. step 2: change the division sign to a multiplication sign and flip (or reciprocate) the fraction after the division sign; essential you need to multiply by the reciprocal. step 3 : cancel or reduce the fractions.