Question

If P=3y² + 2xy - 2x² ,Q=2x²+4xy-y²
and R = 5x²-3xy then show that
P+(Q+R) = (P+Q)+R​

Answer 1

Answer:

L.H.S = P+(Q+R)

= 3y²+2xy-2x²+(2x²+4xy-y²+5x²-3xy)

= 3y²-y²+2x²+5x²-2x²+4xy-3xy+2xy

= 2y²+5x²+3xy

R.H.S = (P+Q)+R

= (3y²+2xy-2x²+2x²+4xy-y²)+5x²-3xy

= 3y²-y²-2x²+2x²+5x²+2xy+4xy-3xy

. = 2y²+5x²+3xy

so L.H.S = R.H.S

P+(Q+R) = (P+Q)+R