Question

Simplify: (3x-1/x)²- (3x+1/x)(3x-1/x) Please help !!

Answer 1

Step-by-step explanation:

answer is ... 2-6x2/x2

hope this is help for u....

if it is wrong I'm sorry ......

thank u. so much....

Answer 2

Sᴏʟᴜᴛɪᴏɴ :-

→ (3x-1/x)²- (3x + 1/x)(3x - 1/x)

using (a + b)(a - b) = (a² - b²) we get,

→ (3x-1/x)² - {(3x)² - (1/x)²}

→ (3x-1/x)² - (9x² - 1/x²)

Now using (a - b)² = (a² + b² - 2ab) we get,

→ {(3x)² + (1/x)² - 2 * 3x * 1/x} - (9x² - 1/x²)

→ (9x² + 1/x² - 6) - (9x² - 1/x²)

→ 9x² + 1/x² - 6 - 9x² + 1/x²

→ (9x² - 9x²) + (1/x² + 1/x²) - 6

→ (2/x²) - 6

→ (2 - 6x²)/x²

→ {2(1 - 3x²)/x²} (Ans.)