Question

Представьте в виде произведения: 2) x^5-x^3+x^2-1= 4) a^4+a^3+a+1=

Answer 1

X^5-x^3+x^2-1 = x^3*(x^2-1)+x^2-1 = (x^2-1)(x^3+1) = (x+1)^2*(x-1)*(x^2-x+1)

Answer 2

2. x^5 - x^3 + x^2 - 1 = (x^5 - x^3) + x^2 - 1 = x^3(x^2 - 1) + (x^2 - 1) = (x^3 + 1)(x^2 - 1) = (x + 1)(x^2 - x + 1)(x^2 - 1)

3. a^4 + a^3 + a + 1 = (a^4 + a^3) + (a + 1) = a^3(a + 1) + (a + 1) = (a^3 + 1)(a + 1) = (a + 1)(a^2 - a + 1)(a^2 + a + 1)