$64 a^{3} - 27 b^{3} - 144 a^{2} b + 108 a b^{2}$

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Solution

$64 a^{3} - 27 b^{3} - 144 a^{2} b + 102 a b^{2}$
${(4 a)}^{3} - {(3 b)}^{3} - 4 a \times 4 a \times 3 \times 3 b + (4 a) {(3 b)}^{2} (3)$
${(4 a - 3 b)}^{3}$

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64 a^{3} - 27 b^{3} - 144 a^{2} b + 108 a b^{2}

64 a^{3}

- 27 b^{3}

- 144 a^{2} b

+ 108 a b^{2}

64 a^{3} - 27 b^{3} - 144 a^{2} b + 108 a b^{2}

Factorise each of the following: 64 $a^{3}$ – 27 $b^{3}$ – 144 $a^{2}$ b + 108a $b^{2}$

64 a^{3} - 27 b^{3} - 144 a^{2} b + 108 a b^{2}

= (4 a - 3 b) (4 a - 3 b) (4 a - 3 b)

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