find the product of the following (2/3x+4/5y) (x/2+2/3y)
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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
.
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