Answer :

(i) 64 a^{3} + 27 b^{3}

**Using Formula : x ^{3} + y^{3} = (x+ y) (x^{2} + y^{2} – xy)**

64 a^{3} + 27 b^{3} = (4 a )^{3} + (3 b)^{3}

64 a^{3} + 27 b^{3} = (4 a + 3 b) [ (4 a )^{2} + (3 b)^{2} + 4 a × 3 b]

64 a^{3} + 27 b^{3} = (4 a + 3 b) ( 16 a^{2} + 9 b^{2} + 12 ab)

(ii) 125 x^{3} – 8 y^{3}

**Using Formula :** **x ^{3} - y^{3} = (x- y) (x^{2} + y^{2} + xy)**

125 x^{3} – 8 y^{3} = (5 x)^{3} – (2 y)^{3}

125 x^{3} – 8 y^{3} = (5 x – 2 y) [ (5 x )^{2} + (2 y )^{2} + 5 x × 2 y]

125 x^{3} – 8 y^{3} = (5 x – 2 y) (25 x^{2} + 4 y^{2} + 10 xy)

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