Question

Sydney was asked whether the following equation is an identity: (2x^2-18)(x+3)(x-3)=2x^4-36x^2+162

Answer 1

Answer:

Any value of x x makes the equation true. All real numbers Interval Notation: ( − ∞ , ∞ ) .

Answer 2

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.