Question

Упростите выражение:

(3х+х^2)^2-х^2(х-5)(х+5)+2х(8-3х^2)

Answer 1

(3х+х^2)^2-х^2(х-5)(х+5)+2х(8-3х^2) = 9х²+6х³+х⁴-х²(х²-25)+16х-6х³=9х²+х⁴-х⁴+25х²+16х=34х²+16х

Answer 2

1) 9x^2 + 6x^3 + x^4 - x^2(x - 5)(x + 5) + 2x(8 - 3x^2)

2) 9x^2 + 6x^3 + x^4 - (x^3 - 5x^2)(x+5) + (16x - 6x^3)

3) 9x^2 + 6x^3 + x^4 - (x^4 - 25x^2) + (16x - 6x^3)

4) 9x^2 + 6x^3 + x^4 - x^4 + 25x^2 + 16x - 6x^3

5) 34x^2 + 6x^3 + x^4 - x^4 + 16x - 6x^3

6) 34x^2 + 16x

 

Ответ: 34x^2 + 16x