Question

2x^3+ 15^2+ 27x + 5= x^2+ 5x + 12x + 5

Answer 1

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.