(x^2+8)^2-36x^2

less than a minute read Jun 17, 2024

Simplifying the Expression: (x^2 + 8)^2 - 36x^2

This expression looks complicated, but we can simplify it using basic algebraic manipulations. Here's how we can approach it:

First, let's expand the squared term:

(x^2 + 8)^2 = (x^2 + 8)(x^2 + 8)

Using the FOIL method (First, Outer, Inner, Last), we get:

(x^2 + 8)^2 = x^4 + 8x^2 + 8x^2 + 64

Simplifying:

(x^2 + 8)^2 = x^4 + 16x^2 + 64

Now, let's substitute this back into the original expression:

(x^2 + 8)^2 - 36x^2 = (x^4 + 16x^2 + 64) - 36x^2

Finally, combine the x^2 terms:

**(x^4 + 16x^2 + 64) - 36x^2 = ** x^4 - 20x^2 + 64

Therefore, the simplified form of the expression (x^2 + 8)^2 - 36x^2 is x^4 - 20x^2 + 64.