Factorise 729x^3 - 512y^3 – InterviewSolution

1.	Factorise 729x^3 - 512y^3
Answer» ALIGN="ABSMIDDLE" alt="\huge\underline{\underline{\overline{\overline{\mid{\red{\MATHBB{SoLuTiOn}}}\mid}}}}" class="latex-formula" id="TexFormula1" src="https://tex.z-dn.net/?f=%5Chuge%5Cunderline%7B%5Cunderline%7B%5Coverline%7B%5Coverline%7B%5Cmid%7B%5Cred%7B%5Cmathbb%7BSoLuTiOn%7D%7D%7D%5Cmid%7D%7D%7D%7D" TITLE="\huge\underline{\underline{\overline{\overline{\mid{\red{\mathbb{SoLuTiOn}}}\mid}}}}"> $\\$ $\\$ ____________________________ $\\$ $\longmapsto\large\underline{\red{729x³ - 512y³}}$ $\\$ $\longmapsto\large{\pink{= 9³x³ - 8³y³}}$ $\\$ $\longmapsto\large{\green{= (9x)³ - (8y)³}}$ $\\$ $\longmapsto{\orange{= (9x - 8y) [ (9x)² + (8y)² + (9x)×(8y) ]}}$ $\\$ $\longmapsto\large{\purple{=(9x - 8y)( 81x² + 64y² + 72xy)}}$ $\\$ $\\$ $\large{\tt{Identity\:used\::}}$ $\large{\tt{\blue{(a³ - b³) = (a - b) (a² + b² + ab).}}}$ $\\$ _______________________________ $\\$

Factorise 729x^3 - 512y^3

Answer» ALIGN="ABSMIDDLE" alt="\huge\underline{\underline{\overline{\overline{\mid{\red{\MATHBB{SoLuTiOn}}}\mid}}}}" class="latex-formula" id="TexFormula1" src="https://tex.z-dn.net/?f=%5Chuge%5Cunderline%7B%5Cunderline%7B%5Coverline%7B%5Coverline%7B%5Cmid%7B%5Cred%7B%5Cmathbb%7BSoLuTiOn%7D%7D%7D%5Cmid%7D%7D%7D%7D" TITLE="\huge\underline{\underline{\overline{\overline{\mid{\red{\mathbb{SoLuTiOn}}}\mid}}}}">

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