Question 65

Expand $$(a - 4)^3$$ 

Solution

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$$(a-b)^3 $$=$$a^3$$+ $$3\times a^2\times b$$+$$3\times a\times b^2$$- $$b^3$$

$$(a-4)^3 $$=$$a^3$$+ $$3\times a^2\times 4$$+$$3\times a\times 4^2$$- $$b^3$$

$$a^3 - 12\times a^2 + 48\times a - 64$$

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