Question

Combine the following fractions and express in fully reduced form.
start fraction, minus, 4, x, plus, 7, divided by, 7, x, cubed, end fraction, plus, start fraction, 2, x, plus, 4, divided by, 7, x, cubed, end fraction
7x
3

−4x+7
​
+
7x
3

2x+4

Answer 1

They have the same denominator 7x^3, so add the numerators:
(-4x+7)+(2x+4) = -2x+11.

Thus the combined fraction is (-2x+11)/(7x^3), which can be written as (11-2x)/(7x^3). Domain: x ≠ 0.