Question

Which expression is equivalent to x^4 - 12x^2 + 36

Answer 1

If you would like to know which expression is equivalent to x^4 - 12 * x^2 + 36, you can calculate this using the following steps:

x^4 - 12 * x^2 + 36 = (x^2 - 6) * (x^2 - 6) = (x^2 - 6)^2

The correct result would be (x^2 - 6)^2.

Answer 2

x⁴ - 12x² + 36

This is the equivalent expression.
(x²-6)²

1) (x²-6)*(x²-6)
2) x²(x²) + x²(-6) -6(x²) -6(-6) (distributive multiplication)
3) x⁴ - 6x² - 6x² + 36 = x⁴ - 12x² + 36 (group together figures that are the same value)