Add 6/(x^2+4x)+3/(2x+8)

Math
6×2+4x+32x+8
Simplify each term.
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Factor x out of x2+4x.
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Factor x out of x2.
6x⋅x+4x+32x+8
Factor x out of 4x.
6x⋅x+x⋅4+32x+8
Factor x out of x⋅x+x⋅4.
6x(x+4)+32x+8
6x(x+4)+32x+8
Factor 2 out of 2x+8.
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Factor 2 out of 2x.
6x(x+4)+32(x)+8
Factor 2 out of 8.
6x(x+4)+32x+2⋅4
Factor 2 out of 2x+2⋅4.
6x(x+4)+32(x+4)
6x(x+4)+32(x+4)
6x(x+4)+32(x+4)
To write 6x(x+4) as a fraction with a common denominator, multiply by 22.
6x(x+4)⋅22+32(x+4)
To write 32(x+4) as a fraction with a common denominator, multiply by xx.
6x(x+4)⋅22+32(x+4)⋅xx
Write each expression with a common denominator of x(x+4)⋅2, by multiplying each by an appropriate factor of 1.
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Multiply 6x(x+4) and 22.
6⋅2x(x+4)⋅2+32(x+4)⋅xx
Multiply 32(x+4) and xx.
6⋅2x(x+4)⋅2+3×2(x+4)x
Reorder the factors of x(x+4)⋅2.
6⋅22x(x+4)+3×2(x+4)x
Reorder the factors of 2(x+4)x.
6⋅22x(x+4)+3x2x(x+4)
6⋅22x(x+4)+3x2x(x+4)
Combine the numerators over the common denominator.
6⋅2+3x2x(x+4)
Simplify the numerator.
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Factor 3 out of 6⋅2+3x.
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Factor 3 out of 6⋅2.
3(2⋅2)+3x2x(x+4)
Factor 3 out of 3x.
3(2⋅2)+3(x)2x(x+4)
Factor 3 out of 3(2⋅2)+3(x).
3(2⋅2+x)2x(x+4)
3(2⋅2+x)2x(x+4)
Multiply 2 by 2.
3(4+x)2x(x+4)
3(4+x)2x(x+4)
Cancel the common factor of 4+x and x+4.
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Reorder terms.
3(x+4)2x(x+4)
Cancel the common factor.
3(x+4)2x(x+4)
Rewrite the expression.
32x
32x
Add 6/(x^2+4x)+3/(2x+8)

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