Algebra Examples

f(x)=5x-1 , g(x)=2x+1
Step 1
Replace the function designators with the actual functions in f(x)(g(x)).
(5x-1)(2x+1)
Step 2
Simplify.
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Step 2.1
Expand (5x-1)(2x+1) using the FOIL Method.
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Step 2.1.1
Apply the distributive property.
5x(2x+1)-1(2x+1)
Step 2.1.2
Apply the distributive property.
5x(2x)+5x1-1(2x+1)
Step 2.1.3
Apply the distributive property.
5x(2x)+5x1-1(2x)-11
5x(2x)+5x1-1(2x)-11
Step 2.2
Simplify and combine like terms.
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Step 2.2.1
Simplify each term.
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Step 2.2.1.1
Rewrite using the commutative property of multiplication.
52xx+5x1-1(2x)-11
Step 2.2.1.2
Multiply x by x by adding the exponents.
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Step 2.2.1.2.1
Move x.
52(xx)+5x1-1(2x)-11
Step 2.2.1.2.2
Multiply x by x.
52x2+5x1-1(2x)-11
52x2+5x1-1(2x)-11
Step 2.2.1.3
Multiply 5 by 2.
10x2+5x1-1(2x)-11
Step 2.2.1.4
Multiply 5 by 1.
10x2+5x-1(2x)-11
Step 2.2.1.5
Multiply 2 by -1.
10x2+5x-2x-11
Step 2.2.1.6
Multiply -1 by 1.
10x2+5x-2x-1
10x2+5x-2x-1
Step 2.2.2
Subtract 2x from 5x.
10x2+3x-1
10x2+3x-1
10x2+3x-1
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