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Simplify the following:
0.76 x 0.76 - 2 x 0.76 x 0.24 x 0.24 + 0.24
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Solution
We have
0.76 x 0.76 - 2 x 0.76 x 0.24 x 0.24 + 0.24
= [0.76 + 0.24]2 `[∵ a^2 + b^2 + 2ab = (a + b)^2]`
`= [1.00]^2`
= 1
∴ 0.76 x 0.76 + 2 x 0.76 x 0.24 + 0.24 x 0.24 = 1
Concept: Algebraic Identities
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