Question

Разложить на множители:
$49x^{2} y - y^3;$

$-6m^2 + 12mn - 6n^2$

$b^3 - 8c^3$

Answer 1

49x²y - y³ = y(49x² - y²) = y(7x - y)(7x + y)
-6m² + 12mn - 6n² = -6(m²- 2mn + n²) = -6(m - n)²
b³ - 8c³ = (b - 2c)(b² + 2bc + 4c²)

Answer 2

(7x-y)(7x+y)y;

6(n-m)(m-n)=-6(n-m)^2;

(b-2c)(b^2+2bc+4c^2).