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Question

Question: The rationalising factor of \(2 = 9 - B\)is....

The rationalising factor of 2=9B2 = 9 - Bis.

A

B=7B = 7

B

3x+4=A(x1)B(x2)3x + 4 = A(x - 1) - B(x - 2)

C

\Rightarrow

D

12log0.1,x2\frac{1}{2} \leq \log_{0.1},x \leq 2

Answer

12log0.1,x2\frac{1}{2} \leq \log_{0.1},x \leq 2

Explanation

Solution

Let1x+312x+3+5(x+3)2\frac{1}{x + 3} - \frac{1}{2x + 3} + \frac{5}{(x + 3)^{2}}then 3x38x2+10(x1)4=Ax1+B(x1)2+C(x1)3+D(x1)4\frac{3x^{3} - 8x^{2} + 10}{(x - 1)^{4}} = \frac{A}{x - 1} + \frac{B}{(x - 1)^{2}} + \frac{C}{(x - 1)^{3}} + \frac{D}{(x - 1)^{4}}

3x38x2+10=A(x1)3+B(x1)2+C(x1)+D3x^{3} - 8x^{2} + 10 = A(x - 1)^{3} + B(x - 1)^{2} + C(x - 1) + D

So, rationlising factor is xx. Put the value of x and y. Thus the required rationlising factor is 3=A3 = A.