Using binomial theorem, evaluate the following:
$(96)^{3}$

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Solution

$(96)^{3} = (100 - 4)^{3}$

Using binomial theorem, we have:

$(100 - 4)^{3} = 3_{C_{0}} (100)^{3} + 3_{C_{1}} (100)^{2} (- 4) + 3_{C_{2}} (100) (- 4)^{2} + 3_{C_{3}} (- 4)^{3}$

$= (100)^{3} + 3.10000 (- 4) + 3.100.16 + (- 64)$

$= 1000000 - 120000 + 4800 - 64$

$= 1004800 - 120064 = 884736$

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Similar questions

(96)^{3}

(96)^{3}

Using binomial theorem evaluate each of the following:

$(i) (96)^{3} (i i) (102)^{5} (i i i) (101)^{4} (i v) (98)^{5}$

{(102)}^{3}

(99)^{5}

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