Question

factorise 8x³ + 27y²+36x²y +54xy²​

Answer 1

Step-by-step explanation:

Answer 2

Step-by-step explanation:

It is a special form: (a+b)^3=a^3+3*a^2*b+3*a*b^2+b^3. So then 8x³ + 36x²y + 54xy² + 27y³=(2x)^3+3*(2x)^2*3y+2*2x*(3y)^2+(3y)^3=(2x+3y)^3

You get hints in the problem: first off 8x^3 is a perfect cube, 8x^3=(2x)^3. Next 27y^3 is a perfect cube, 27y^3=(3y)^3. So now you should be saying "A ha, this is probably one of those special forms" and then you check the rest of it.

Or use computer software, like Maple, Derive, Mathematica

Final answer:(2x+3y)^3

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