Question

verify (9x-5y)² + 180xy = (9x+5y)²​

Answer 1

Answer:

Explanation:

$(81 {x}^{2} - 90xy + 25 {y}^{2} ) + 180xy = 81 {x}^{2} + 90xy + 25 {y}^{2}$

$81 {x}^{2} + 90xy + 25 {y}^{2} = 81 {x}^{2} + 90xy + 25 {y}^{2}$

Hence verified

Answer 2

Answer:

(9x-5y)² + 180xy = (9x+5y)²​

here L.H.S = R.H.S

Step-by-step explanation:

Given, (9x-5y)² + 180xy = (9x+5y)²​

Consider L.H.S, (9x-5y)² + 180xy ​

it is in the form of (a-b)² = a² + b²- 2ab

(9x-5y)² + 180xy ​= (9x)² + (5y)² - 2(9x)(5y) + 180xy

= 81x²+ 25y² -90xy + 180xy

=  81x²+ 25y² + 90xy

(9x-5y)² + 180xy = 81x²+ 25y² + 90xy .

consider R.H.S, (9x+5y)²

It is in the form of (a+b)² = a² + b²+ 2ab

(9x+5y)²​ =  (9x)² + (5y)² + 2(9x)(5y)

 = 81x²+ 25y² + 90xy

(9x+5y)² = 81x²+ 25y² + 90xy

here L.H.S = R.H.S

Hence verified.