Question
Simplify the expression
54x9y2−216x6y8
Evaluate
(3x3×2y2)(9x6−9x3y2×4y4)
Remove the parentheses
3x3×2y2(9x6−9x3y2×4y4)
Multiply
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Multiply the terms
9x3y2×4y4
Multiply the terms
36x3y2×y4
Multiply the terms with the same base by adding their exponents
36x3y2+4
Add the numbers
36x3y6
3x3×2y2(9x6−36x3y6)
Multiply the terms
6x3y2(9x6−36x3y6)
Apply the distributive property
6x3y2×9x6−6x3y2×36x3y6
Multiply the terms
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Evaluate
6x3y2×9x6
Multiply the numbers
54x3y2x6
Multiply the terms
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Evaluate
x3×x6
Use the product rule an×am=an+m to simplify the expression
x3+6
Add the numbers
x9
54x9y2
54x9y2−6x3y2×36x3y6
Solution
More Steps

Evaluate
6x3y2×36x3y6
Multiply the numbers
216x3y2x3y6
Multiply the terms
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Evaluate
x3×x3
Use the product rule an×am=an+m to simplify the expression
x3+3
Add the numbers
x6
216x6y2×y6
Multiply the terms
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Evaluate
y2×y6
Use the product rule an×am=an+m to simplify the expression
y2+6
Add the numbers
y8
216x6y8
54x9y2−216x6y8
Show Solution

Factor the expression
54x6y2(x3−4y6)
Evaluate
(3x3×2y2)(9x6−9x3y2×4y4)
Remove the parentheses
3x3×2y2(9x6−9x3y2×4y4)
Multiply
More Steps

Multiply the terms
9x3y2×4y4
Multiply the terms
36x3y2×y4
Multiply the terms with the same base by adding their exponents
36x3y2+4
Add the numbers
36x3y6
3x3×2y2(9x6−36x3y6)
Multiply the terms
6x3y2(9x6−36x3y6)
Factor the expression
More Steps

Evaluate
9x6−36x3y6
Rewrite the expression
9x3×x3−9x3×4y6
Factor out 9x3 from the expression
9x3(x3−4y6)
6x3y2×9x3(x3−4y6)
Solution
54x6y2(x3−4y6)
Show Solution
