Y^4-8y^2+16 разложите ** множители (c+5)c^2-(c+5)*2c+(c+5) 8a^3-b^3+4a^2+2ab+b^2

Question

Y^4-8y^2+16 разложите на множители
(c+5)c^2-(c+5)*2c+(c+5)
8a^3-b^3+4a^2+2ab+b^2

Answer 1

1) y⁴-8y²+16 = (y²-4)²
2) c²(c+5)-2c(c+5)+(c+5) = (c+5)(c²-2c+1) = (c+5)(c-1)²
3) 8a³-b³+4a²+2ab+b² = (2a-b)(4a²+2ab+b²)+4a²+2ab+b² = (2a-b+1)(2a+b)²