Разложите на множители:
а) $3z^2 - 12$;
б) $2x^2 - 50$;
в) $5a^2 + 10a + 5$;
г) $2y^2 - 8y + 8$;
д) $2b^3 + 54$;
е) $3m^3 - 81$;
ж) $x^3 + 2x^2 + x$;
з) $ax^2 - a$;
и) $m - m^3$;
к) $4x^2 + 8x + 4$;
л) $9y - 4y^3$;
м) $ax^3 - 8a$.
$3z^2 - 12 = 3(z^2 - 4) = 3(z - 2)(z + 2)$
$2x^2 - 50 = 2(x^2 - 25) = 2(x - 5)(x + 5)$
$5a^2 + 10a + 5 = 5(a^2 + 2a + 1) = 5(a + 1)^2$
$2y^2 - 8y + 8 = 2(y^2 - 4y + 4) = 2(y - 2)^2$
$2b^3 + 54 = 2(b^3 + 27) = 2(b + 3)(b^2 - 3b + 9)$
$3m^3 - 81 = 3(m^3 - 27) = 3(m - 3)(m^2 + 3m + 9)$
$x^3 + 2x^2 + x = x(x^2 + 2x + 1) = x(x + 1)^2$
$ax^2 - a = a(x^2 - 1) = a(x - 1)(x + 1)$
$m - m^3 = m(1 - m^2) = m(1 - m)(1 + m)$
$4x^2 + 8x + 4 = 4(x^2 + 2x + 1) = 4(x + 1)^2$
$9y - 4y^3 = y(9 - 4y^2) = y(3 - 2y)(3 + 2y)$
$ax^3 - 8a = a(x^3 - 8) = a(x - 2)(x^2 + 2x + 4)$
Пожауйста, оцените решение