Question

(3a-2)^3/(a-2) +(36a-8 /2-a) упростите

Answer 1

$frac{(3a-2)^3}{a-2} +frac{36a-8}{2-a} = frac{(3a-2)^3}{a-2} -frac{36a-8}{a-2} = \ frac{(3a)^3 + 3cdot3acdot2^2-3cdot(3a)^2cdot2 - 2^3}{a-2} -frac{36a-8}{a-2} = \ frac{27a^3 + 36a-54a^2 - 8}{a-2} -frac{36a-8}{a-2} = \ frac{27a^3 -54a^2}{a-2} = frac{27a^2(a-2)}{a-2} = 27a^2.$