Find the value of $a^{3} - b^{3} - 3 a^{2} b + 3 a b^{2}$ , when a = 4 and b = 3.

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Solution

The correct option is A
1

We have to substitute the value of a = 4 and b = 3 in the expression.

$a^{3} - b^{3} - 3 a^{2} b + 3 a b^{2}$

$= (4)^{3} + (3)^{3} - 3 (4)^{2} \times 3 + 3 \times 4 (3^{2}) = 64 - 27 - 3 \times 16 \times 3 + 3 \times 4 \times 9$

= 175 – 174

= 1

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