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What is the simplified value of : (1.25)3  – 2.25 (1.25)2  + 3.75 (0.75)2  – (0.75)3

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(1.25)3  – 2.25 (1.25)2  + 3.75 (0.75)2  – (0.75)3

= (1.25)3 – 3 × 0.75 × (1.25)2 + 3 × 1.25 × (0.75)2 – (0.75)3

= (1.25 – 0.75)3 = (0.5)3\(\big(\frac12\big)^3=\frac18.\)        [∴ a3 - 3a2b + 3ab2 - b3 = (a - b)3]   

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