Question
Simplify the expression
4x3−5x2−x6+5x5−9−x
Evaluate
(4x−5)x2−x5(x−5)−32−x
Multiply the terms
x2(4x−5)−x5(x−5)−32−x
Expand the expression
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Calculate
x2(4x−5)
Apply the distributive property
x2×4x−x2×5
Multiply the terms
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Evaluate
x2×4x
Use the commutative property to reorder the terms
4x2×x
Multiply the terms
4x3
4x3−x2×5
Use the commutative property to reorder the terms
4x3−5x2
4x3−5x2−x5(x−5)−32−x
Expand the expression
More Steps

Calculate
−x5(x−5)
Apply the distributive property
−x5×x−(−x5×5)
Multiply the terms
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Evaluate
x5×x
Use the product rule an×am=an+m to simplify the expression
x5+1
Add the numbers
x6
−x6−(−x5×5)
Use the commutative property to reorder the terms
−x6−(−5x5)
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
−x6+5x5
4x3−5x2−x6+5x5−32−x
Solution
4x3−5x2−x6+5x5−9−x
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