Question

Factorise: 16 - x⁴ =​

Answer 1

Answer:

Algebra Examples

Rewrite 16 as 42 . Rewrite x4 as (x2)2 ( x 2 ) 2 . 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=4 and b=x2 b = x 2 . Simplify

Answer 2

16=4²

X⁴= (x²)²

ATQ

4²-(x²)². (Now use the identity a²-b²=(a+b)(a-b))

4²-(x²)²= (4+x²)(4-x²)

∴ factorisation of 16 - x⁴= (4+x²)(4-x²)