The given question requires the expansion of the expressions within the bracket to the stated power. This would give an answer that is equal to -64.
This expansion requires the substitution of the given values, a and b, into the expression in the bracket. Then expanding the determined answer to the stated power.
Here, subtract the value of b from that of a, then expand the answer to the power of 3.
Thus:
[tex](a - b)^{3}[/tex]
Given that; a = 3, and b = 7, then we have:
[tex](a - b)^{3}[/tex] = [tex](3 - 7)^{3}[/tex]
= [tex](-4)^{3}[/tex]
= -4 * -4 * -4
= -64
Therefore with the given conditions in the question, we have:
[tex](3 - 7)^{3}[/tex] = -64
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