Math, asked by minnie86123456, 7 months ago

Evaluate the product:(a-1/a)(a+1/a)(a^2-1/a^2) for a= -2

Answers

Answered by harshitha926594

Answer:

$a = - 2 \\ \\ ( \frac{a - 1}{a} )( \frac{a + 1}{a})( \frac{ {a}^{2} - 1 }{ {a}^{2} } ) \\ = ( \frac{( - 2) - 1}{ - 2} )( \frac{( - 2) + 1}{ - 2} )( \frac{ {( - 2)}^{2} - 1 }{ {( - 2)}^{2} } ) \\ = ( \frac{ - 2 - 1}{ - 2} )( \frac{ - 2 + 1}{ - 2} )( \frac{4 - 1}{4} ) \\ = \frac{ - 3}{ - 2} \times \frac{ - 1}{ - 2} \times \frac{3}{4} \\ = \large{ \boxed{ \underline{ \underline{\frac{ - 9}{16}}}}}$

minnie86123456: Wont the minus sign cut?

harshitha926594: if you add two numbers with minus sign with minus sign, answer will be in minus sign (-) + (-) = (-). If you add numbers with one is of minus and one is of plus, the answer will be in the sign of largest number. Eg :- -6 + 3 = -3. when you multiply two numbers with minus sign, answer will be in plus sign.

harshitha926594: I have tried my best to explain you correctly. If any query, feel free to ask

minnie86123456: No i got it now thank you..

Answered by hellosumina

Step-by-step explanation:

(a^2 -1/a^2) (a^2-1/a^2)

(a^2- 1/a^2)^2

((-2)^2-(1/-2^2))^2

(4-1/4)^2

(16-1/4)^2

(15/4)^2

225/6 - ans

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