Question
Simplify the expression
24x3y5−48x8y5
Evaluate
(8xy4x)(3xy−6x5×xy)
Remove the parentheses
8xy4x(3xy−6x5×xy)
Multiply
More Steps

Multiply the terms
6x5×xy
Multiply the terms with the same base by adding their exponents
6x5+1y
Add the numbers
6x6y
8xy4x(3xy−6x6y)
Multiply the terms
8x2y4(3xy−6x6y)
Apply the distributive property
8x2y4×3xy−8x2y4×6x6y
Multiply the terms
More Steps

Evaluate
8x2y4×3xy
Multiply the numbers
24x2y4xy
Multiply the terms
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Evaluate
x2×x
Use the product rule an×am=an+m to simplify the expression
x2+1
Add the numbers
x3
24x3y4×y
Multiply the terms
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Evaluate
y4×y
Use the product rule an×am=an+m to simplify the expression
y4+1
Add the numbers
y5
24x3y5
24x3y5−8x2y4×6x6y
Solution
More Steps

Evaluate
8x2y4×6x6y
Multiply the numbers
48x2y4x6y
Multiply the terms
More Steps

Evaluate
x2×x6
Use the product rule an×am=an+m to simplify the expression
x2+6
Add the numbers
x8
48x8y4×y
Multiply the terms
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Evaluate
y4×y
Use the product rule an×am=an+m to simplify the expression
y4+1
Add the numbers
y5
48x8y5
24x3y5−48x8y5
Show Solution

Factor the expression
24x3y5(1−2x5)
Evaluate
(8xy4x)(3xy−6x5×xy)
Remove the parentheses
8xy4x(3xy−6x5×xy)
Multiply
More Steps

Multiply the terms
6x5×xy
Multiply the terms with the same base by adding their exponents
6x5+1y
Add the numbers
6x6y
8xy4x(3xy−6x6y)
Multiply the terms
8x2y4(3xy−6x6y)
Factor the expression
More Steps

Evaluate
3xy−6x6y
Rewrite the expression
3xy−3xy×2x5
Factor out 3xy from the expression
3xy(1−2x5)
8x2y4×3xy(1−2x5)
Solution
24x3y5(1−2x5)
Show Solution
