Question

Which expression is equivalent to X4 - 18X2 +81?
(x-g)(x² +9)
2.
of +9)(x2 +9)
3.
(9-x)(9+x2)
(x² - 9)(x² – 9)
4
Math

Answer 1

I can’t upload any working right now so I hope you’ll understand from an explanation, all it is is a hidden polynomial. You can say:

Let y=x^2
Then the equation becomes:
y^2 - 18y + 81
Factorise that to give you:
(y-9)(y-9) Or (y-9)^2
But remember, y=x^2. So the equation becomes:
(X^2-9)(X^2-9)

Hope this helped :)