Question

factorise
8x? + 36x²y + 54xy2 + 27y?​

Answer 1

Answer:

8x³+36x²y+54xy²+27y³

Step-by-step explanation:

By seeing the question we can concluded that this is the formula of : (a+b)³ = a³+3a²b+3ab²+b³

So , by comparing the formula with given question will get the value of ' a ' as (2x)³ =8x³

And the value of ' b 'as (3y)³=27y³

By substituting the values of a and b in the formula of (a+b)³ will get the values as (2x)³+3×(2x)²×3y+3×(2x)×(3y)²+(3y)³ =

8x³+3×4x²×3y+3×2x×9y²+27y³=

8x³+36x²y+54xy²+27y³