Question

Factorise:- x⁴ - 16​

Answer 1

Step-by-step explanation:

Rewrite 16 as 42 . Since both terms are perfect squares, factor using the difference of squares formula, a2−b2=(a+b)(a−b) a 2 - b 2 = ( a + b ) ( a - b ) where a=x2 a = x 2 and b=4 .

Answer 2

Answer:

x⁴ - 16​ = x⁴ - 2⁴ = (x²)² - (2²)² = (x² - 2²)(x² + 2²) = ((x - 2)(x + 2))(x²+ 2²)

= (x - 2)(x + 2)(x² + 2²)