Answer : We have : 243x3 - 125 y3 , So ⇒2 × 2 ×2×3 3x3 -5 × 5 × 5 y3⇒23 3 3x3 -53 y3⇒2 ×33x3 -53 y3⇒2 3 x3 -5y3 We know ( a3 - b3 ) = ( a - b ) ( a2 + ab + b2 ) , So ⇒2 3 x - 5y 2 3 x2 +2 3 x5y + 5y2 ⇒2 3 x - 5y 12 x2+10 3 x y +25y2 ( Ans )

24√3x3-125y3

Answer :

We have :

24 \sqrt{3} x^{3} - 125 y^{3}

, So

\Rightarrow 2 \times 2 \times 2 \times 3 \sqrt{3} x^{3} - 5 \times 5 \times 5 y^{3} \Rightarrow 2^{3} 3 \sqrt{3} x^{3} - 5^{3} y^{3} \Rightarrow {(2 \times \sqrt{3})}^{3} x^{3} - 5^{3} y^{3} \Rightarrow {(2 \sqrt{3} x)}^{3} - {(5 y)}^{3} We know (a^{3} - b^{3}) = (a - b) (a^{2} + ab + b^{2}), So \Rightarrow (2 \sqrt{3} x - 5 y) ({(2 \sqrt{3} x)}^{2} + (2 \sqrt{3} x) (5 y) + {(5 y)}^{2}) \Rightarrow (2 \sqrt{3} x - 5 y) (12 x^{2} + 10 \sqrt{3} x y + 25 y^{2}) (Ans)

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