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Find the value of 64 x^3-\ 125 z^3, if 4...

Find the value of `64 x^3-\ 125 z^3,` if `4x-5z=16` and `x z=12`

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To find the value of \( 64x^3 - 125z^3 \) given the equations \( 4x - 5z = 16 \) and \( xz = 12 \), we can use the identity for the difference of cubes: \[ a^3 - b^3 = (a - b)(a^2 + ab + b^2) \] In our case, we can rewrite \( 64x^3 - 125z^3 \) as: ...
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