Algebra Examples

f(x)=4x , g(x)=6x+2
Step 1
Replace the function designators with the actual functions in f(x)(g(x)).
(4x)(6x+2)
Step 2
Simplify.
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Step 2.1
Simplify by multiplying through.
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Step 2.1.1
Apply the distributive property.
4x(6x)+4x2
Step 2.1.2
Simplify the expression.
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Step 2.1.2.1
Rewrite using the commutative property of multiplication.
46xx+4x2
Step 2.1.2.2
Multiply 2 by 4.
46xx+8x
46xx+8x
46xx+8x
Step 2.2
Simplify each term.
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Step 2.2.1
Multiply x by x by adding the exponents.
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Step 2.2.1.1
Move x.
46(xx)+8x
Step 2.2.1.2
Multiply x by x.
46x2+8x
46x2+8x
Step 2.2.2
Multiply 4 by 6.
24x2+8x
24x2+8x
24x2+8x
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