Question
Simplify the expression
1000125x3−450x2y+540xy2−216y3
Evaluate
(2x−53y)3
Subtract the terms
More Steps

Simplify
2x−53y
Reduce fractions to a common denominator
2×5x×5−5×23y×2
Multiply the numbers
10x×5−5×23y×2
Multiply the numbers
10x×5−103y×2
Write all numerators above the common denominator
10x×5−3y×2
Use the commutative property to reorder the terms
105x−3y×2
Multiply the terms
105x−6y
(105x−6y)3
Rewrite the expression
103(5x−6y)3
Simplify
1000(5x−6y)3
Solution
More Steps

Evaluate
(5x−6y)3
Use (a−b)3=a3−3a2b+3ab2−b3 to expand the expression
(5x)3−3(5x)2×6y+3×5x(6y)2−(6y)3
Calculate
125x3−450x2y+540xy2−216y3
1000125x3−450x2y+540xy2−216y3
Show Solution
