Question

find the answer of this question(5x+1/5x)(5x-1/5x)​

Answer 1

$\\ \\ \large\underline{ \underline{ \sf{ \red{solution:} }}}$

$\\ \sf \: (5x + \frac{1}{5x} )(5x - \frac{1}{5x} )$

By identity ,

$\\ \bigstar \boxed{ \bf \:(x + y)(x - y) = {x}^{2} - {y}^{2} }$

Here ,

• x = 5x
• y = 1/5x

Putting values , we get...

$\\ \implies \sf \: ( {5x)}^{2} - ( { \frac{1}{5x} )}^{2} \\ \\ \implies \sf \: 25 {x}^{2} - \frac{1}{25 {x}^{2} }$

Hence ,

$\\ \underline{ \underline{\boxed{ \sf \: \orange{(5x + \frac{1}{5x} )(5x - \frac{1}{5x} ) = 25 {x}^{2} - \frac{1}{25 {x}^{2} } }}}}$

More identities :-

• (x+y)² = x² + y² + 2xy

• (x-y)² = x² + y² - 2xy

• (x+a)(x+b) = x² + (a+b)x + ab

• (x+y)³ = x³ + 3x²y + 3xy² + y³

• (x-y)³ = x³ - 3x²y + 3xy² - y³