(2/3-x - 4x/9-x^2 - 1/3+x)*(9+6x+x^2) упростите выражение плиз

Question

(2/3-x - 4x/9-x^2 - 1/3+x)*(9+6x+x^2)
упростите выражение плиз

Comments

2/(3 - x) - 4x/(9 - x²) -1 /(3 + x) =( 2(3+x) -4x-(3-x) ) / (3-x)(3+x) = 1/(x+3) ; (1/(x+3) ) * (x+3)² = x+3 .

Answer 1

Решим по действиями:
1) 2/(3 - x) - 4x/(9 - x²) = 2/(3 - x) - 4x/(3 - x)(3 + x) = 2(3 + x) - 4x/(3 - x)(3 + x) = (6 + 2x - 4x)/(3 - x)(3 + x) = (6 - 2x)/(3 - x)(3 + x) = 2(3 - x)/(3 - x)(3 + x) =
= 2/(3 + x)
2) 2/(3 + x) - 1/(3 + x) = 1/(3 + x)
3) 1/(3 + x)·(9 + 6x + x²) = (x + 3)²/(x + 3) = x + 3 
Ответ: x + 3. 

Comments

спасибо