Question

Factorise (pq)^3+(q-r)^3+(r-p)^3

Answer 1

pq³+q-r³+r-p³
(a+b)²formula
(pq³+[r-p³])²

Answer 2

Hi ,

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If x + y + z = 0 ,

Then ,

x³ + y³ + z³ = 3xyz

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Here ,

Let x = p - q ,

y = q - r ,

z = r - p ;

Now ,

x + y + z = p - q + q - r + r - p

x + y + z = 0

Therefore ,

x³ + y³ + z³ = 3xyz

( p - q )³ + ( q - r )³ + ( r - p )³

= 3( p - q )( q - r )( r - p )

I hope this helps you.

: )