Question

simplify (3x-5y) power 3 - (3 x+5y) power 3

Answer 1

heya here is ur answer

Answer 2

Hey friend,
Here is the answer you were looking for:
${(3x - 5y)}^{3} - {(3x + 5y)}^{3} \\ \\ = ( {(3x)}^{3} - {(5y)}^{3} - 3 \times 3x \times 5y(3x - 5y)) \\ - ( {(3x)}^{3} + {(5y)}^{3} + 3 \times 3x \times 5y(3x + 5y) \\ \\ = ({27x}^{3} - {125y}^{3} - 45xy \times 3x + 45xy \times 5y) \\ - ({27x}^{3} + {125y}^{3} + 45xy \times 3x + 45xy \times 5y) \\ \\ = ( {27x}^{3} - {125y}^{3} - 135 {x}^{2} y + {225xy}^{2} ) \\ - ( {27x}^{3} + {125y}^{3} + {135x}^{2} y + {225xy}^{2} ) \\ \\ = {27x}^{3} - {125y}^{3} - {135x}^{2} y + {225xy}^{2} \\ - {27x}^{3} - {125y}^{3} - {135x}^{2} y - {225xy}^{2} \\ \\ = { - 250y}^{3} - {270x}^{2} y$

Hope this helps!!!

@Mahak24

Thanks...
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