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Numyx · Answer 1 · 2023-04-02T23:18:21+0000

To determine if the equation is true we multiply the expression on the right side by the denominator on the left; if the result is the numerator on the left then the equation is true:

$\begin{gathered} (2x+5)(x^2+5x+1)=2x^3+10x^2+2x+5x^2+25x+5 \\ =2x^3+15x^2+27x+5 \end{gathered}$

Since the result is the numerator on the left side we conclude that the equation is true.

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