Math, asked by gaanavdonthi, 4 months ago

(2a-1/a)² please tell the ans​

Answers

Answered by IIMidnightHunterII
7

...........♣️ QUESTION ♣️...........

 {(2a -  \frac{1}{a}) }^{2}

.............♣️ ANSWER ♣️.............

by \:  \:  \: using \:  \:  \: the \:  \:  \:  \: formula \:  \:  \:  \\  {(x - y)}^{2}  =  {x}^{2}  +  {y}^{2}  - 2xy \\  \\ here \:  \:  \: x = 2a \\  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \: y =  \frac{1}{a}  \\  \\  {(2a -  \frac{1}{a} )}^{2}  =  ({2a})^{2}  +  ( { \frac{1}{a} })^{2}   - 2(2a \times  \frac{1}{a} ) \\  \\  = 4 {a}^{2}  +  \frac{1}{ {a}^{2} }  - 2 \times 2 \\  \\  = 4 {a}^{2}  +  \frac{1}{ {a}^{2} }  - 4

.........♣️ THIS IS THE ANSWER TO UR QUESTION ♣️......

Answered by Anjali5869
1

Answer:

The answer is 4a² + 1/a² - 4

Step-by-step explanation:

Identity = (a - b)² = (a)² + (b)² - 2ab

(2a - 1/a)² = (2a)² + ( 1/a)² - 2 × 2a × 1/a

= 4a² + 1/a² - 4a/a

= 4a² + 1/a² - 4

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