Question

Упростить 4(1/2 b +2/3 c)(1/4 b^2 -1/3 bc +4/9 c^2)

Answer 1

Ответ:

$frac{1}{2}b^3 + 1frac{5}{27}c^3$

Объяснение:

$4(frac{1}{2} b +frac{2}{3} c)(frac{1}{4} b^2 - frac{1}{3}bc + frac{4}{9} c^2) = 4cdot((frac{1}{2}b)^3 + (frac{2}{3}c)^3) = 4cdot (frac{1}{8}b^3 + frac{8}{27}c^3) = frac{4}{8}b^3 + frac{32}{27}c^3 = \\ frac{1}{2}b^3 + 1frac{5}{27}c^3$