Question

factorise 2x³y²-4x²y³+8xy⁴​

Answer 1

Step-by-step explanation:

$(2 {x}^{3} {y}^{2} - 4 {x}^{2} {y}^{2} ) + 8x {y}^{4}$

$(- 2x) + 8x {y}^{4}$

$10 {x}^{2} {y}^{4}$

Answer 2

Answer:

2xy²(x-2y)(x-2y)

Step-by-step explanation:

2x³y²- 4x²y³+8xy⁴

= 2xy²(x²-4xy+ 4y²)

= 2xy²[(x)²-2(x)(2y)+(2y)²]

= 2xy²(x-2y)²

= 2xy²(x-2y)(x-2y).