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in Polynomials by (49.2k points)
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The rational expression \(\frac{8x^3 - 125}{4x^2 + 10x +25}\) in its simplest form is :

(a) 2x 

(b) 5 

(c) 2x + 5 

(d) 2x – 5

1 Answer

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Best answer

(d) 2x -5

\(\frac{8x^3 - 125}{4x^2 + 10x +25}\) = \(\frac{(2x)^3 - 5^3}{4x^2 + 10x +25}\)

\(\frac{(2x-5)(4x^2+10x+25)}{4x^2+10x+25}\)

= 2x - 5

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