# Combine (18x+18)/(16x+32)*(4x+8)/(6x^2-6)

18x+1816x+32⋅4x+86×2-6
Simplify with factoring out.
Factor 18 out of 18x+18.
Factor 18 out of 18x.
18(x)+1816x+32⋅4x+86×2-6
Factor 18 out of 18.
18(x)+18(1)16x+32⋅4x+86×2-6
Factor 18 out of 18(x)+18(1).
18(x+1)16x+32⋅4x+86×2-6
18(x+1)16x+32⋅4x+86×2-6
Factor 16 out of 16x+32.
Factor 16 out of 16x.
18(x+1)16(x)+32⋅4x+86×2-6
Factor 16 out of 32.
18(x+1)16x+16⋅2⋅4x+86×2-6
Factor 16 out of 16x+16⋅2.
18(x+1)16(x+2)⋅4x+86×2-6
18(x+1)16(x+2)⋅4x+86×2-6
Factor 4 out of 4x+8.
Factor 4 out of 4x.
18(x+1)16(x+2)⋅4(x)+86×2-6
Factor 4 out of 8.
18(x+1)16(x+2)⋅4x+4⋅26×2-6
Factor 4 out of 4x+4⋅2.
18(x+1)16(x+2)⋅4(x+2)6×2-6
18(x+1)16(x+2)⋅4(x+2)6×2-6
18(x+1)16(x+2)⋅4(x+2)6×2-6
Simplify the denominator.
Factor 6 out of 6×2-6.
Factor 6 out of 6×2.
18(x+1)16(x+2)⋅4(x+2)6(x2)-6
Factor 6 out of -6.
18(x+1)16(x+2)⋅4(x+2)6(x2)+6(-1)
Factor 6 out of 6(x2)+6(-1).
18(x+1)16(x+2)⋅4(x+2)6(x2-1)
18(x+1)16(x+2)⋅4(x+2)6(x2-1)
Rewrite 1 as 12.
18(x+1)16(x+2)⋅4(x+2)6(x2-12)
Since both terms are perfect squares, factor using the difference of squares formula, a2-b2=(a+b)(a-b) where a=x and b=1.
18(x+1)16(x+2)⋅4(x+2)6(x+1)(x-1)
18(x+1)16(x+2)⋅4(x+2)6(x+1)(x-1)
Simplify terms.
Cancel the common factor of 6(x+1).
Factor 6(x+1) out of 18(x+1).
6(x+1)(3)16(x+2)⋅4(x+2)6(x+1)(x-1)
Cancel the common factor.
6(x+1)⋅316(x+2)⋅4(x+2)6(x+1)(x-1)
Rewrite the expression.
316(x+2)⋅4(x+2)x-1
316(x+2)⋅4(x+2)x-1
Cancel the common factor of 4(x+2).
Factor 4(x+2) out of 16(x+2).
34(x+2)(4)⋅4(x+2)x-1
Cancel the common factor.
34(x+2)⋅4⋅4(x+2)x-1
Rewrite the expression.
34⋅1x-1
34⋅1x-1
Multiply 34 and 1x-1.
34(x-1)
34(x-1)
Combine (18x+18)/(16x+32)*(4x+8)/(6x^2-6)

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