Question

find the answer by using suitable identity for product of ( 2 X + 5 y )( 2 X + 3 y)​

Answer 1

HEY MATE HERE IS YOUR ANSWER

Given, (2x+5y)(2x+3y).

We know, (x+a)(x+b)=x

2

+(a+b)x+ab.

On comparing, we get,

x=2x,a=5y,b=3y.

Thus,

(2x+5y)(2x+3y)

=(2x)

2

+(5y+3y)2x+(5y)×(3y)

=4x

2

+(8y)2x+15y

2

=4x

2

+16xy+15y

2

.

Answer 2

Answer:

Given, (2x+5y)(2x+3y).

We know, (x+a)(x+b)=x

2

+(a+b)x+ab.

On comparing, we get,

x=2x,a=5y,b=3y.

Thus,

(2x+5y)(2x+3y)

=(2x)

2

+(5y+3y)2x+(5y)×(3y)

=4x

2

+(8y)2x+15y

2

=4x

2

+16xy+15y

2

.