Factorise : 24√3 x^3 - 125y^3
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24 ×3^(1/2)×x^3 - 125 y^3
= 8× 3× 3^1/2 × x^3 - (5×y)^3
= (8×3^1/2×x)^3 - (5×y)^3
= (8×3^1/2×x - 5×y)(192x^2 + 40×3^1/2×x×y + 25×y^2)
As (a3 -b3)= (a-b)(a2+ab+b2)
= 8× 3× 3^1/2 × x^3 - (5×y)^3
= (8×3^1/2×x)^3 - (5×y)^3
= (8×3^1/2×x - 5×y)(192x^2 + 40×3^1/2×x×y + 25×y^2)
As (a3 -b3)= (a-b)(a2+ab+b2)
master0611:
sorry but I am NOT able to understand your answer can you make the last part of your answer more clearer
Answered by
29
24 ×3^(1/2)×x^3 - 125 y^3
= 8× 3× 3^1/2 × x^3 - (5×y)^3
= (8×3^1/2×x)^3 - (5×y)^3
= (8×3^1/2×x - 5×y)(192x^2 + 40×3^1/2×x×y + 25×y^2)
As (a3 -b3)= (a-b)(a2+ab+b2)
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