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Question Number 7478 by Yozzia last updated on 31/Aug/16
Find the value of x^3 (x^3 −18) if x(x−3)=−1.
Findthevalueofx3(x3−18)ifx(x−3)=−1.
Answered by Rasheed Soomro last updated on 31/Aug/16
x^3 (x^3 −18) if x(x−3)=−1 [x(x−3)]^3 =(−1)^3 (a−b)^3 =a^3 −b^3 −3ab(a−b) x^3 (x^3 −27−9x(x−3))=−1 x^3 (x^3 −27−9(−1)=−1 x^3 (x^3 −27+9)=−1 x^3 (x^3 −18)=−1
x3(x3−18)ifx(x−3)=−1[x(x−3)]3=(−1)3(a−b)3=a3−b3−3ab(a−b)x3(x3−27−9x(x−3))=−1x3(x3−27−9(−1)=−1x3(x3−27+9)=−1x3(x3−18)=−1

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