Question

factorise y(y²-2y) + 2(2y-y²) - 2y³ + y⁴​

Answer 1

Step-by-step explanation:

y(y^2-2y) + 2(2y-y^2) - 2y^3 + y^4

y(y^2-2y) - 2(y^2 - 2y) + y^2(y^2-2y)

(y-2+y^2)(y^2-2y)

y(y-2)(y^2+y-2)

y(y-2)(y^2 + 2y - y -2)

y(y-2)(y(y+2)-1(y+2))

y(y-2)(y-1)(y+2)

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