Basic Math Examples

Solve for a a^2+n+2b^2=(a+b)(a+2b)
Step 1
Since is on the right side of the equation, switch the sides so it is on the left side of the equation.
Step 2
Simplify .
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Step 2.1
Rewrite.
Step 2.2
Simplify by adding zeros.
Step 2.3
Expand using the FOIL Method.
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Step 2.3.1
Apply the distributive property.
Step 2.3.2
Apply the distributive property.
Step 2.3.3
Apply the distributive property.
Step 2.4
Simplify and combine like terms.
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Step 2.4.1
Simplify each term.
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Step 2.4.1.1
Multiply by .
Step 2.4.1.2
Rewrite using the commutative property of multiplication.
Step 2.4.1.3
Rewrite using the commutative property of multiplication.
Step 2.4.1.4
Multiply by by adding the exponents.
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Step 2.4.1.4.1
Move .
Step 2.4.1.4.2
Multiply by .
Step 2.4.2
Add and .
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Step 2.4.2.1
Reorder and .
Step 2.4.2.2
Add and .
Step 3
Move all terms containing to the left side of the equation.
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Step 3.1
Subtract from both sides of the equation.
Step 3.2
Combine the opposite terms in .
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Step 3.2.1
Subtract from .
Step 3.2.2
Add and .
Step 4
Move all terms not containing to the right side of the equation.
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Step 4.1
Subtract from both sides of the equation.
Step 4.2
Combine the opposite terms in .
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Step 4.2.1
Subtract from .
Step 4.2.2
Add and .
Step 5
Divide each term in by and simplify.
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Step 5.1
Divide each term in by .
Step 5.2
Simplify the left side.
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Step 5.2.1
Cancel the common factor of .
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Step 5.2.1.1
Cancel the common factor.
Step 5.2.1.2
Rewrite the expression.
Step 5.2.2
Cancel the common factor of .
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Step 5.2.2.1
Cancel the common factor.
Step 5.2.2.2
Divide by .