Question

simplify the following:
$(3 \sqrt{2} - 2 \sqrt{3} )^{3}$
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Answer 1

Answer:

(a-b)³=a³-b³-3ab(a-b)

(3√2-2√3)³=(3√2)³-(2√3)³-3(3√2)(2√3)(3√2-2√3)

=54√2-24√3-18√6(3√2-2√3)

=54√2-24√3-108√3-108√2