分解因式 4xy^2-2x^2y-y^3 (4a^2+1)^2-16a^2
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4xy^2-2x^2y-y^3

=-y(2x²-4xy+y²)

=-y(2x²-4xy+2y²-y²)

=-y[2(x²-2xy+y²)-y²]

=-y[2(x-y)²-y²]

=-y[√2(x-y)+y][√2(x-y)-y]

=-y(√2x-√2 y+y)(√2x-√2 y-y)

(4a^2+1)^2-16a^2

=(4a²+1+4a)(4a²+1-4a)

=(2a+1)²(2a-1)²