Question

factorise 9 x square Y - 24 x y square + 16 y cube​

Answer 1

Answer:

9x²y - 24xy² + 16y³ = y(3x - 4y)²

Step-by-step explanation:

Factorise 9 x square Y - 24 x y square + 16 y cube​

9x²y - 24xy² + 16y³

Taking y common

= y (9x² - 24xy  + 16y²)

= y( 9x² - 12xy - 12xy + 16y²)

= y( 3x(3x - 4y) - 4y(3x - 4y))

= y (3x -4y)(3x - 4y)

= y(3x - 4y)²

9x²y - 24xy² + 16y³ = y(3x - 4y)²

Answer 2

Answer:

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Step-by-step explanation:

=>y(9x²-24xy²+16y²)

=>y(9x²-24xy²+16y²)=>y[3x(3x-4y)-4y(3x-4y)]

=>y(9x²-24xy²+16y²)=>y[3x(3x-4y)-4y(3x-4y)]=>y(3x-4y)(3x-4y)

=>y(9x²-24xy²+16y²)=>y[3x(3x-4y)-4y(3x-4y)]=>y(3x-4y)(3x-4y)=>y(3x-4y)²