Question

Q21. factorise it x⁴-1 ​

Answer 1

Answer:

Factoring: x4-1

Theory : A difference of two perfect squares, A2 - B2 can be factored into (A+B) • (A-B)

Proof : (A+B) • (A-B) =

A2 - AB + BA - B2 =

A2 - AB + AB - B2 =

A2 - B2

Note : AB = BA is the commutative property of multiplication.

Note : - AB + AB equals zero and is therefore eliminated from the expression.

Check : 1 is the square of 1

Check : x4 is the square of x2

Factorization is : (x2 + 1) • (x2 - 1)

Step-by-step explanation:

hope this helps you.

Answer 2

Answer:

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

Step-by-step explanation:

x^4-1

(x^2)the whole square - (1) the whole square

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

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

hope this helps you

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