Find the values of the following expressions:
(i) ![]()
(ii) ![]()
(iii) ![]()
(i) ![]()
(4x)2 + 2 (4x) (3) + 32
= (4x + 3)2
Putting x = ![]()
= [4 (
) + 3]2
= (7 + 3)2
= 100
(ii) ![]()
(8x)2 + 2 (8x) (9y) + (9y)2
= (8x + 9y)2
Putting x = 11 and y = ![]()
= [8 (11) + 9 (
)]2
= (88 + 12)2
= (100)2
= 10000
(iii) ![]()
(9x)2 + (4y)2 – 2 (9x) (4y)
= (9x – 4y)2
Putting x =
and y = ![]()
= [9 (
) – 4 (
)]2
= (6 – 3)2
= 32
= 9
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