= (2x^2+3x+5)(2x^2+3x+5)= 4x^4 + 6x^3 + 10x^2 + 6x^3 + 9x^2 + 15x + 10x^2 + 15x + 25= 4x^4 + 12x^3 + 34x^2 + 30x + 25
Итак, (2x^2+3x+5)^2 = 4x^4 + 12x^3 + 34x^2 + 30x + 25.
= (2x^2+3x+5)(2x^2+3x+5)
= 4x^4 + 6x^3 + 10x^2 + 6x^3 + 9x^2 + 15x + 10x^2 + 15x + 25
= 4x^4 + 12x^3 + 34x^2 + 30x + 25
Итак, (2x^2+3x+5)^2 = 4x^4 + 12x^3 + 34x^2 + 30x + 25.