Question

x^3+x^2-4x-4
factorise​

Answer 1

Answer:

x³ + x² - 4x + 4

= x²(x + 1) - 4(x + 1)

Taking x + 1 common, we get:

= (x + 1)(x² - 4)

= (x + 1)(x² - 2²)

As, a² - b² = (a + b) (a + b),

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

Therefore, x³ + x² - 4x - 4 = (x+1)(x+2)(x-2)