Expand using suitable identity
(3/x - 2/x²) ³
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2
Step-by-step explanation:
Identity
( a - b) ^3 = a^3 -(3) a ^2b + (3)ab^2 - b^3
(3/x - 2/x^2 )^3
= (3/x)^3 -3 (3/x)^2(2/x^2) +3(3/x)(2/x^2)^2-(2/x^2)^3
= 27/x^3 -52/x^4 + 36/x^5 - 8/x^6
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Answered by
3
Answer:
⇒(3/x)³-(2/x²)³-3(3/x)²(2/x²)+3(3/x)(2/x²)²
27/x³ - 8/x6 - 54/x4 + 36/x5.
The identity used in this is:
(a-b)³ = (a)³+(b)³+3a(a+b)+3b(a+b)
= (a)³+(b)³+3a²b+3ab².
Here in the second line in the 2nd, 3rd and 4th terms, the numbers written after x are the powers of x in all the terms.
Regards,
Tanishq
Step-by-step explanation:
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