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If a-b=4 and a b=21 , find the value of ...

If `a-b=4` and `a b=21 ,` find the value of `a^3-b^3`

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To find the value of \( a^3 - b^3 \) given that \( a - b = 4 \) and \( ab = 21 \), we can use the algebraic identity for the difference of cubes: \[ a^3 - b^3 = (a - b)(a^2 + ab + b^2) \] ### Step 1: Calculate \( a - b \) From the problem, we know: ...
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