Factor the expression completely 3x4 3 Solutionfx 3x4 3

Factor the expression completely. 3x^4 - 3

f(x) = 3*x^4 - 3

= 3*(x^4 - 1)

= 3*((x^2)^2 - 1^2)

We know that

a^2 - b^2 = (a + b)(a - b)

Using this

= 3*(x^2 + 1)*(x^2 - 1)

= 3*(x^2 + 1)*(x^2 - 1^2)

again using the same equation

f(x) = 3*(x^2 + 1)(x + 1)(x - 1)