Answer :

(3x – 5y) × (x + y)

= x (3x – 5y) + y (3x – 5y)


= 3x2 – 5xy + 3xy – 5y2


= 3x2 – 2xy – 5y2


Putting x = - 1 and y = - 2, we have


[3 (-1) – 5 (-2)] [(1) + (-2)] = 3 (-1)2 – 2 (-1) (-2) – 5 (-2)2


(-3 + 10) (-1 – 2) = 3 – 4 – 20


- 21 = - 21


Therefore,


L.H.S = R.H.S


Hence, verified


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