Question

18(x-y)3 -(144(a-b)3​

Answer 1

Answer:

18x-18y×54-144a-144b×432

Answer 2

18 • (x3 - 3x2y + 3xy2 - y3 - 8a3 + 24a2b - 24ab2 + 8b3)

step by step explaination :

step 1. :Equation at the end of step 1

(18 • ((x - y)3)) - 144 • (a - b)3

STEP 2:

Equation at the end of step 2

18 • (x - y)3 - 144 • (a - b)3

step 3:

3.1 Evaluate : (x-y)3 = x3-3x2y+3xy2-y3

3.2 Evaluate : (a-b)3 = a3-3a2b+3ab2-b3

STEP 4:

Pulling out like terms

4.1 Pull out like factors :

18x3 - 54x2y + 54xy2 - 18y3 - 144a3 + 432a2b - 432ab2 + 144b3 =

18 • (x3 - 3x2y + 3xy2 - y3 - 8a3 + 24a2b - 24ab2 + 8b3)

Final result :

18 • (x3 - 3x2y + 3xy2 - y3 - 8a3 + 24a2b - 24ab2 + 8b3)