Question
Simplify the expression
1536x3y−216xy3
Evaluate
64x2×24xy−24xy×9y2
Multiply
More Steps

Multiply the terms
64x2×24xy
Multiply the terms
1536x2×xy
Multiply the terms with the same base by adding their exponents
1536x2+1y
Add the numbers
1536x3y
1536x3y−24xy×9y2
Solution
More Steps

Multiply the terms
24xy×9y2
Multiply the terms
216xy×y2
Multiply the terms with the same base by adding their exponents
216xy1+2
Add the numbers
216xy3
1536x3y−216xy3
Show Solution

Factor the expression
24xy(8x−3y)(8x+3y)
Evaluate
64x2×24xy−24xy×9y2
Evaluate
More Steps

Evaluate
64x2×24xy
Multiply the terms
1536x2×xy
Multiply the terms with the same base by adding their exponents
1536x2+1y
Add the numbers
1536x3y
1536x3y−24xy×9y2
Evaluate
More Steps

Evaluate
24xy×9y2
Multiply the terms
216xy×y2
Multiply the terms with the same base by adding their exponents
216xy1+2
Add the numbers
216xy3
1536x3y−216xy3
Factor out 24xy from the expression
24xy(64x2−9y2)
Solution
More Steps

Evaluate
64x2−9y2
Rewrite the expression in exponential form
(8x)2−(3y)2
Use a2−b2=(a−b)(a+b) to factor the expression
(8x−3y)(8x+3y)
24xy(8x−3y)(8x+3y)
Show Solution
