Question

factorise and divide(x^4 - 16) ÷ (x² - 4x+4)​

Answer 1

Step-by-step explanation:

a² -b² = (a+b)(a-b)

x⁴-16 = (x²)² - 4²

= (x²+4)(x²-4)

= (x²+4)(x²-2²)

= (x²+4)(x+2)(x-2) ---A

x²-4x+4 = x²-2*x*2+ 2²

= (x-2)² --- B

A/ B = (x²+4)(x+2)(x-2)/ (x-2)²

= (x²+4)(x+2)/(x-2)