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Find the values of the following expressions: 64x^2 + 81y^2 + 144xy when x = 11 and y = 4/3

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Find the values of the following expressions:

64x2 + 81y2 + 144xy when x = 11 and y = 4/3

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Given ,

64x2 + 81y2 + 144xy when x = 11 and y = 4/3

Using formula (a + b)2 = a2 + b2 +2ab

(8x)2 + 2 (8x) (9y) + (9y)2 (8x + 9y)

= [8 (11) + 9 (4/3)]2

= (88 + 12)2

= (100)2

= 10000

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