Correct answers only ! i cannot retake order the steps for multiplying/dividing rational expressions correctly. factor the numerator and denominator completely. divide out common factors (math for division, flip the second fraction (kcf). multiply the simplified fractions.

1. for division, flip the second fraction.

2. factor the numerator and denominator completely.

3. divide out common factors.

4. multiply the simplified fractions.

hello from mrbilldoesmath!

answer:

(7 x + 6 y) (49 x^2 - 42 x y + 36 y^2)

discussion:

the trick is to recognize that 343 = 7^3 and 216 = 6^3 and, in general,

a^3 + b^3 =   (a + b) (a^2 - a b + b^2).

in our case

343x^3+216y^3   =   (7x)^3 + (6y)^3

so take a = 7x and b = 6y in the above equation to get the answer.

you,

mrb