Question

Find the value of the expression 36x^2+25y^2-60xy when x=2/3 and y=1/5.

Answer 1

By using identity (a-b)^2=a^2-2ab+b^2

a=6x

b=5y

(6x-5y)^2=36x^2-60xy+25y^2

x=2/3

y=1/5

(6x-5y)^2=(6×2/3-5×1/5)^2

(4-1)^2

=3^2

=9

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