Разложите на множители:
1) $3a^2 + 6ab + 3b^2$;
2) $5m^2 + 5n^2 - 10mn$;
3) $-3x^2 + 12x - 12$;
4) $-7b^2 - 14bc - 7c^2$;
5) $x^2y + 14xy^2 + 49y^3$;
6) $-8a^3b + 56a^2b^2 - 98ab^3$.
$3a^2 + 6ab + 3b^2 = 3(a^2 + 2ab + b^2) = 3(a + b)^2$
$5m^2 + 5n^2 - 10mn = 5(m^2 - 2mn + n^2) = 5(m - n)^2$
$-3x^2 + 12x - 12 = -3(x^2 - 4x + 4) = -3(x - 2)^2$
$-7b^2 - 14bc - 7c^2 = -7(b^2 + 2bc + c^2) = -7(b + c)^2$
$x^2y + 14xy^2 + 49y^3 = y(x^2 + 14xy + 49y^2) = y(x + 7y)^2$
$-8a^3b + 56a^2b^2 - 98ab^3 = -2ab(4a^2 - 28ab + 49b^2) = -2ab(2a - 7b)^2$
Пожауйста, оцените решение
