Question

Which of the following is an example of an identity

Answer 1

Simplify the equations to check for an identity.

(1.)

`\begin{gathered} x^2+2x+8=(x+2)(x+4) \\ x^2+2x+8=x^2+2x+4x+8 \\ x^2+2x+8\\e x^2+6x+8 \end{gathered}`

option 1 is incorrect.

2)

`\begin{gathered} 2x(x-3)+5x-15=(2x+5)(x-3) \\ 2x(x-3)+5(x-3)=(2x+5)(x-3) \\ (2x+5)(x-3)=(2x+5)(x-3) \end{gathered}`

Option 2 is correct, as both sides are equal after simplfy left hand side of equation.

Answer: 2x(x - 3) + 5x - 15 = (2x + 5)(x - 3)