Algebra Examples

Simplify (5x-3)(x^3-5x+2)
Step 1
Expand by multiplying each term in the first expression by each term in the second expression.
Step 2
Simplify terms.
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Step 2.1
Simplify each term.
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Step 2.1.1
Multiply by by adding the exponents.
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Step 2.1.1.1
Move .
Step 2.1.1.2
Multiply by .
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Step 2.1.1.2.1
Raise to the power of .
Step 2.1.1.2.2
Use the power rule to combine exponents.
Step 2.1.1.3
Add and .
Step 2.1.2
Rewrite using the commutative property of multiplication.
Step 2.1.3
Multiply by by adding the exponents.
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Step 2.1.3.1
Move .
Step 2.1.3.2
Multiply by .
Step 2.1.4
Multiply by .
Step 2.1.5
Multiply by .
Step 2.1.6
Multiply by .
Step 2.1.7
Multiply by .
Step 2.2
Simplify by adding terms.
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Step 2.2.1
Add and .
Step 2.2.2
Move .