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Question
Evaluate using algebraic formula:
`((0.68)^3 - (0.13)^3)/((0.68)^2 + (0.68 xx 0.13) + (0.13)^2`
Evaluate
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Solution
Given expression: `((0.68)^3 - (0.13)^3)/((0.68)^2 + (0.68 xx 0.13) + (0.13)^2`
We know that,
a3 – b3 = a – ba2 + ab + b2
Hence,
⇒ `((0.68 - 0.13)[(0.68)^2 + (0.68)(0.13) + (0.13)^2])/((0.68)^2 + (0.68)(0.13) + (0.13)^2)`
⇒ (0.68 – 0.13)
⇒ 0.55
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