Question
Simplify the expression
2x6y3−4x6y2−2x7y2−2x
Evaluate
x×x5y×2y(y−2−x)−2x
Multiply
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Multiply the terms
x×x5y×2y(y−2−x)
Multiply the terms with the same base by adding their exponents
x1+5y×2y(y−2−x)
Add the numbers
x6y×2y(y−2−x)
Multiply the terms
x6y2×2(y−2−x)
Use the commutative property to reorder the terms
2x6y2(y−2−x)
2x6y2(y−2−x)−2x
Solution
More Steps

Evaluate
2x6y2(y−2−x)
Apply the distributive property
2x6y2×y−2x6y2×2−2x6y2x
Multiply the terms
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Evaluate
y2×y
Use the product rule an×am=an+m to simplify the expression
y2+1
Add the numbers
y3
2x6y3−2x6y2×2−2x6y2x
Multiply the numbers
2x6y3−4x6y2−2x6y2x
Multiply the terms
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Evaluate
x6×x
Use the product rule an×am=an+m to simplify the expression
x6+1
Add the numbers
x7
2x6y3−4x6y2−2x7y2
2x6y3−4x6y2−2x7y2−2x
Show Solution

Factor the expression
2x(x5y3−2x5y2−x6y2−1)
Evaluate
x×x5y×2y(y−2−x)−2x
Multiply
More Steps

Evaluate
x×x5y×2y(y−2−x)
Multiply the terms with the same base by adding their exponents
x1+5y×2y(y−2−x)
Add the numbers
x6y×2y(y−2−x)
Multiply the terms
x6y2×2(y−2−x)
Use the commutative property to reorder the terms
2x6y2(y−2−x)
2x6y2(y−2−x)−2x
Rewrite the expression
2x×x5y2(y−2−x)−2x
Factor out 2x from the expression
2x(x5y2(y−2−x)−1)
Solution
2x(x5y3−2x5y2−x6y2−1)
Show Solution
