10.(i) Factorise the following:

      (i)    27y^3 + 125z^3

Answers (1)
R Riya

We know that 

a^3+b^3=(a+b)(a^2+b^2-ab)

Now, we can write  27y^3 + 125z^3  as 

\Rightarrow 27y^3 + 125z^3 = (3y)^3+(5z)^3

Here,  a = 3y \ \ and \ \ b = 5z

Therefore,

27y^3+125z^3= (3y+5z)\left((3y)^2+(5z)^2-3y.5z \right )

27y^3+125z^3= (3y+5z)\left(9y^2+25z^2-15yz \right )

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