xx2+4x+2×2

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

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)

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)

Add x/(x^2+4x)+2/(x^2)