Respuesta :

Answer:

Yes it is.

See below.

Step-by-step explanation:

(2x^2-18)(x+3)(x-3)

= (2x^2 - 18(x^2 - 9)

= 2x^4 - 18x^2 - 18x^2 + 162

= 2x^4 - 36x^2 + 162.

The left side transforms to the right side so it is an identity.

Yes, the following equation is an identity.

What is the equation?

A mathematical statement consisting of an equal symbol between two algebraic expressions with the same value is known as an equation.

LHS;

⇒(2x²-18)(x+3)(x-3)

Use the identity;

(x-a)(x+a) = x² -a²

⇒(2x²-18)(x+3)(x-3)

⇒(2x²-18)(x²-9)

⇒2x⁴ - 18x² - 18x² + 162

⇒2x⁴ - 36x² + 162

RHS;

2x⁴ - 36x² + 162

Hence, yes, the following equation is an identity.

To learn more, about equations, refer;

https://brainly.com/question/10413253

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