Question

Resolve into factor
x⁴+8x²+144

Answer 1

x^4 + 8x² + 144

= (x^4 + 24x² + 12²) – 16x²

= (x²+12)² –(4x)²

= (x²+4x+12)(x²–4x+12)

Answer 2

Answer: the factors are (x^2-4x+12 ) , (x^2+4x+12 )

Step-by-step explanation:

Expression is

x^4+8x^2+144

= (x^4+24x^2+12^2) - 16x^2

= (x^2+12) ^2 - (4x) ^2

= (x^2-4x+12 ) (x^2+4x+12 )

The factors are (x^2-4x+12 ) , (x^2+4x+12 )