xx2+4x+2×2
Simplify each term.
Factor x out of x2+4x.
Factor x out of x2.
xx⋅x+4x+2×2
Factor x out of 4x.
xx⋅x+x⋅4+2×2
Factor x out of x⋅x+x⋅4.
xx(x+4)+2×2
xx(x+4)+2×2
Cancel the common factor of x.
Cancel the common factor.
xx(x+4)+2×2
Rewrite the expression.
1x+4+2×2
1x+4+2×2
1x+4+2×2
To write 1x+4 as a fraction with a common denominator, multiply by x2x2.
1x+4⋅x2x2+2×2
To write 2×2 as a fraction with a common denominator, multiply by x+4x+4.
1x+4⋅x2x2+2×2⋅x+4x+4
Write each expression with a common denominator of (x+4)x2, by multiplying each by an appropriate factor of 1.
Multiply 1x+4 and x2x2.
x2(x+4)x2+2×2⋅x+4x+4
Multiply 2×2 and x+4x+4.
x2(x+4)x2+2(x+4)x2(x+4)
Reorder the factors of (x+4)x2.
x2x2(x+4)+2(x+4)x2(x+4)
x2x2(x+4)+2(x+4)x2(x+4)
Combine the numerators over the common denominator.
x2+2(x+4)x2(x+4)
Simplify the numerator.
Apply the distributive property.
x2+2x+2⋅4×2(x+4)
Multiply 2 by 4.
x2+2x+8×2(x+4)
x2+2x+8×2(x+4)