Question
Simplify the expression
a2−432ab3+1944ab2c−2916abc2+1458ac3
Evaluate
a2−6a(2b−3c)×9(2b−3c)2
Multiply
More Steps
Multiply the terms
6a(2b−3c)×9(2b−3c)2
Multiply the terms
54a(2b−3c)(2b−3c)2
Multiply the terms with the same base by adding their exponents
54a(2b−3c)1+2
Add the numbers
54a(2b−3c)3
a2−54a(2b−3c)3
Solution
More Steps
Calculate
−54a(2b−3c)3
Simplify
−54a(8b3−36b2c+54bc2−27c3)
Apply the distributive property
−54a×8b3−(−54a×36b2c)−54a×54bc2−(−54a×27c3)
Multiply the numbers
−432ab3−(−54a×36b2c)−54a×54bc2−(−54a×27c3)
Multiply the numbers
−432ab3−(−1944ab2c)−54a×54bc2−(−54a×27c3)
Multiply the numbers
−432ab3−(−1944ab2c)−2916abc2−(−54a×27c3)
Multiply the numbers
−432ab3−(−1944ab2c)−2916abc2−(−1458ac3)
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
−432ab3+1944ab2c−2916abc2+1458ac3
a2−432ab3+1944ab2c−2916abc2+1458ac3
Show Solution
Factor the expression
(a−432b3+1944b2c−2916bc2+1458c3)a
Evaluate
a2−6a(2b−3c)×9(2b−3c)2
Multiply
More Steps
Evaluate
6a(2b−3c)×9(2b−3c)2
Multiply the terms
54a(2b−3c)(2b−3c)2
Multiply the terms with the same base by adding their exponents
54a(2b−3c)1+2
Add the numbers
54a(2b−3c)3
a2−54a(2b−3c)3
Rewrite the expression
a×a−54(2b−3c)3a
Factor out a from the expression
(a−54(2b−3c)3)a
Solution
(a−432b3+1944b2c−2916bc2+1458c3)a
Show Solution