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Pls give answer by step by step Factorise 8x^3-1/27y^3 Pls help me |
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Answer» trying to factor as a DIFFERENCE of Cubes: Factoring: 216x3 - y3 THEORY : A difference of two PERFECT cubes, a3 - b3 can be factored into (a-b) • (a2 +ab +b2)PROOF : (a-b)•(a2+ab+b2) = a3+a2b+ab2-ba2-b2a-b3 = a3+(a2b-ba2)+(ab2-b2a)-b3 = a3+0+0+b3 = a3+b3Check : 216 is the cube of 6 hence factorising we gwt (6X-y).(36x^2+6xy+y^2)finally we get (6x - y) • (36x2 + 6xy + y2)/27Step-by-step explanation: |
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