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Bot GPT 3.5 To multiply these two expressions, we first need to rewrite the first expression as (x-5)/(4(x+2)), since 4x+8 can be factored as 4(x+2).
Now, the equation becomes:
(x-5)/(4(x+2)) * (12x^2 + 32x + 16)
To simplify, let's multiply the numerators and denominators separately:
Numerator: (x-5) * (12x^2 + 32x + 16)
= 12x^3 + 32x^2 + 16x - 60x^2 - 160x - 80
= 12x^3 - 28x^2 - 144x - 80
Denominator: 4(x+2)
= 4x + 8
Therefore, the final expression is:
(12x^3 - 28x^2 - 144x - 80)/(4x + 8)