Question

HOW TO FACTORISE :
x^4-1​

Answer 1

Answer:

(x^2+1)(x+1)(x-1)

Step-by-step explanation:

formula --->

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p^2-q^2=(p+q)(p-q)

x^4-1

=(x^2)^2-(1)^2

=(x^2+1)(x^2-1)

=(x^2+1) {(x)^2-(1)^2}

=(x^2+1) (x+1) (x-1)

Answer 2

Answer:

X = ±1, ±1

Step-by-step explanation:

X⁴ — 1 = 0

(X²)² — (1)² = 0

(X²—1) (X²+1) = 0

From here we will get four values of x because equation is biquadratic.

As equation is carrying degree 4.

(X²—1) = 0

X ² = 1

X = ± 1.

_______________

(X²+1) = 0

X² = -1

X = ±1.

Thanks.