Factorise: 27x³-y³-64-36xy
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Answer:
........................
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Answered by
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Step-by-step explanation:
bf{\green{=27X^3+Y^3+Z^3-9XYZ}}}=27X
3
+Y
3
+Z
3
−9XYZ
{\bf{\pink{=(3X)^3+Y^3+Z^3-3(3X)YZ}}}=(3X)
3
+Y
3
+Z
3
−3(3X)YZ
{\bf{\blue{=[3X+Y+Z][3X^2+Y^2+Z^2-3XY-YZ-3ZX] }}}=[3X+Y+Z][3X
2
+Y
2
+Z
2
−3XY−YZ−3ZX]
{\bf{\orange{=[3X+Y+Z][9X^2+Y^2+Z^2-3XY-YZ-3XZ]}}}=[3X+Y+Z][9X
2
+Y
2
+Z
2
−3XY−YZ−3XZ]
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