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
Step 2.1
Simplify by multiplying through.
Step 2.1.1
Apply the distributive property.
4x(6x)+4x⋅2
Step 2.1.2
Simplify the expression.
Step 2.1.2.1
Rewrite using the commutative property of multiplication.
4⋅6x⋅x+4x⋅2
Step 2.1.2.2
Multiply 2 by 4.
4⋅6x⋅x+8x
4⋅6x⋅x+8x
4⋅6x⋅x+8x
Step 2.2
Simplify each term.
Step 2.2.1
Multiply x by x by adding the exponents.
Step 2.2.1.1
Move x.
4⋅6(x⋅x)+8x
Step 2.2.1.2
Multiply x by x.
4⋅6x2+8x
4⋅6x2+8x
Step 2.2.2
Multiply 4 by 6.
24x2+8x
24x2+8x
24x2+8x