Question

Va rog e ff urgent !
4.Efectuati calculele:
a.) (x+1)(x-1)(x²+1)(x⁴+1)
b.) (x+2)(x-2)(x²+4)(x⁴+16)
c.)(x+3)(x-3)(x²+9)
d.)(a-b)(a+b)(a²+b²(a⁴+ b⁴)

Answer 1

a) (x+1)(x-1)(x²+1)(x⁴+1) =
    = (x²-1)(x²+1)(x⁴+1) =
    = (x⁴-1)(x⁴+1) =
    = x⁸-1

b) (x+2)(x-2)(x²+4)(x⁴+16) =
    = (x²-4)(x²+4)(x⁴+16) =
    = (x⁴-16)(x⁴+16) =
    = x⁸-256

c) (x+3)(x-3)(x²+9) =
    = (x²-9)(x²+9) =
    = x⁴-81

d) (a-b)(a+b)(a²+b²)(a⁴+b⁴) =
    = (a²-b²)(a²+b²)(a⁴+b⁴) =
    = (a⁴-b⁴)(a⁴+b⁴) =
    = a⁸-b⁸

La toate subpunctele am aplicat formula (a-b)(a+b) = a²-b².

Sper ca te-am ajutat!