Question

If X=3 then find then value of (x1/3 + x—1/3) (x2/3 + x—2/3)​

Answer 1

Answer:

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Answer 2

Finding the value:

Step-by-step explanation:

$\ Given \ value: \\\\\ x \ = \ 3\\\\\ Find: \\\\\(x1/3 \ + \ x - \ 1/3) (\ x\ 2/3 \ + \ x\ - \ 2/3)\\\\\ Solution:\\\\\rightarrow \ (\frac{1x}{3} + \ x - \frac{1}{3}) (\frac{ 2x}{3} \ + \ x\ - \frac{2}{3})\\\\\rightarrow \ ( \frac{1x+3x-1}{3}) (\frac{ 2x+3x-2}{3})\\\\\rightarrow \ ( \frac{4x-1}{3}) (\frac{ 5x-2}{3})\\\\\rightarrow \ ( \frac{4x-1}{3} \times \frac{ 5x-2}{3})\\\\\rightarrow \ ( \frac{(4x-1)(5x-2)}{9})\\\\\rightarrow \ ( \frac{(20x^2-8x-5x+2)}{9})$

$\rightarrow \ \frac{(20x^2-13x+2)}{9}\\\\\ put \ the \ value \ of \ x \ in \ above \ equation\\\\\rightarrow \ \frac{(20(3)^2-13(3)+2)}{9}\\\\\rightarrow \ \frac{(20(9)-13(3)+2)}{9}\\\\\rightarrow \ \frac{(180-39+2)}{9}\\\\\rightarrow \ \frac{(180-39+2)}{9}\\\\\rightarrow \ \frac{(141+2)}{9}\\\\\rightarrow \ \frac{143}{9} \ \ \ or\ \ \ 15.88$

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