Question

разложите многочлен на множители:
x³+8y³+x²+4xy+4y²
8p³-q³+4p²-4pq+q

Answer 1

x³+8y³+x²+4xy+4y²=(x+2y)(x²-2xy+y²)+(x+2y)(x+2y)=(x+2y)(x²--2xy+y²+x+2y)
8p³-q³+4p²-4pq+q=(2p-q)(4p²+2pq+q²)+(2p-q)(2p-q)=(2p-q)(4p²+2pq+q²+2p-q)