(x+2y)²(x²-2xy+4y²)²我要详细解答,用适当的乘法公式

问题描述:

(x+2y)²(x²-2xy+4y²)²我要详细解答,用适当的乘法公式

(x+2y)²(x²-2xy+4y²)²
=[(x+2y)(x²-2xy+4y²)]²
=[(x+2y)(x-2y)²]²
=[(x²-4y²)(x-2y)]²
=(x²-4y²)²(x-2y)²

(x+2y)²(x²-2xy+4y²)²
=[(x+2y)(x²-2xy+4y²)]²
=[x³+(2y)³]²
=x^6+2x³(2y)³+(2y)^6
=x^6+16x³y³+64y^6