Factorize (3a-2b)^3+(2b-5c)^3+(5c-3a)^3
plz give answer fast with proper explanation
Answers
Answer:
Answer
4.0/5
20
Haziquemujtaba1
Ambitious
52 answers
4.4K people helped
(3a-2b)3+(2b-5c)3+(5c-3a)3
Step by step solution :
Step 1 :
1.1 Evaluate : (5c-3a)3 = 125c3-225ac2+135a2c-27a3
Step 2 :
Pulling out like terms :
2.1 Pull out like factors :
-54a2b + 135a2c + 36ab2 - 225ac2 - 60b2c + 150bc2 =
-3 • (18a2b - 45a2c - 12ab2 + 75ac2 + 20b2c - 50bc2)
Trying to factor by pulling out :
2.2 Factoring: 18a2b - 45a2c - 12ab2 + 75ac2 + 20b2c - 50bc2
Thoughtfully split the expression at hand into groups, each group having two terms :
Group 1: 20b2c - 12ab2
Group 2: 18a2b - 45a2c
Group 3: 75ac2 - 50bc2
Pull out from each group separately :
Group 1: (3a - 5c) • (-4b2)
Group 2: (2b - 5c) • (9a2)
Group 3: (3a - 2b) • (25c2)
Looking for common sub-expressions :
Group 1: (3a - 5c) • (-4b2)
Group 3: (3a - 2b) • (25c2)
Group 2: (2b - 5c) • (9a2)