Question

Express 4x²+25y²+10xy as a perfect square

Answer 1

Answer: (2x+5y) ^2

Step-by-step explanation: arranging the expression :

= 4x^2+10xy+25y^2

= (2x)^2+2(2x)(5y)+(5y)^2

By a^2+2ab+b^2 = (a+b)^2 we get:

(2x+5y)^2 which is a perfect square