Basic Math Examples

Simplify (y+3)(y+1)(y-2)(y-5)
Step 1
Expand using the FOIL Method.
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Step 1.1
Apply the distributive property.
Step 1.2
Apply the distributive property.
Step 1.3
Apply the distributive property.
Step 2
Simplify and combine like terms.
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Step 2.1
Simplify each term.
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Step 2.1.1
Multiply by .
Step 2.1.2
Multiply by .
Step 2.1.3
Multiply by .
Step 2.2
Add and .
Step 3
Expand by multiplying each term in the first expression by each term in the second expression.
Step 4
Simplify terms.
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Step 4.1
Simplify each term.
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Step 4.1.1
Multiply by by adding the exponents.
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Step 4.1.1.1
Multiply by .
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Step 4.1.1.1.1
Raise to the power of .
Step 4.1.1.1.2
Use the power rule to combine exponents.
Step 4.1.1.2
Add and .
Step 4.1.2
Move to the left of .
Step 4.1.3
Multiply by by adding the exponents.
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Step 4.1.3.1
Move .
Step 4.1.3.2
Multiply by .
Step 4.1.4
Multiply by .
Step 4.1.5
Multiply by .
Step 4.2
Simplify by adding terms.
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Step 4.2.1
Add and .
Step 4.2.2
Add and .
Step 5
Expand by multiplying each term in the first expression by each term in the second expression.
Step 6
Simplify terms.
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Step 6.1
Simplify each term.
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Step 6.1.1
Multiply by by adding the exponents.
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Step 6.1.1.1
Multiply by .
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Step 6.1.1.1.1
Raise to the power of .
Step 6.1.1.1.2
Use the power rule to combine exponents.
Step 6.1.1.2
Add and .
Step 6.1.2
Move to the left of .
Step 6.1.3
Multiply by by adding the exponents.
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Step 6.1.3.1
Move .
Step 6.1.3.2
Multiply by .
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Step 6.1.3.2.1
Raise to the power of .
Step 6.1.3.2.2
Use the power rule to combine exponents.
Step 6.1.3.3
Add and .
Step 6.1.4
Multiply by .
Step 6.1.5
Multiply by by adding the exponents.
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Step 6.1.5.1
Move .
Step 6.1.5.2
Multiply by .
Step 6.1.6
Multiply by .
Step 6.1.7
Multiply by .
Step 6.2
Simplify by adding terms.
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Step 6.2.1
Add and .
Step 6.2.2
Subtract from .
Step 6.2.3
Subtract from .