Question

factorise: (25/4x²-1/9y²)?​

Answer 1

25/4x² - 1/9y²

= (5/4x)² - (1/3y)²

= (5/4x + 1/3y)(5/4x - 1/3x)

I hope this answer helps you.

Answer 2

Answer:

a²-b²+2bc-c² =a² - (b² -2bc +c²)

=a² - (b-c)²

=(a-(b-c))(a+(b-c))

‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ [ using identity a²-b² =(a-b)(a+b) ]

= (a-b+c)(a+b-c)

hence.,a²-b²+2bc - c² = (a-b+c)(a+b-c)