(2x + 5y) (2x + 3y) का गुणनफल .ज्ञात करने के लिये
सर्वसमिका x2+(a+b) x+ab पयोग
कीजिए |​

2 thoughts on “(2x + 5y) (2x + 3y) का गुणनफल .ज्ञात करने के लिये<br />सर्वसमिका x2+(a+b) x+ab पयोग<br />कीजिए |​”

1. Answer:

   4x 2 +16xy+15y 2

   explanation

   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+15y2

   =4x 2 +16xy+15y2

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2. SOLUTION

   TO DETERMINE

   The value of

   [tex] \sf{(2x + 5y)(2x + 3y)}[/tex]

   FORMULA TO BE IMPLEMENTED

   We are aware of the formula that

   [tex] \sf{(x + a)(x + b) = {x}^{2} + (a + b)x + ab}[/tex]

   EVALUATION

   [tex] \sf{(2x + 5y)(2x + 3y)}[/tex]

   [tex] \sf{ =2x(2x + 3y) + 5y(2x + 3y)}[/tex]

   [tex] \sf{ =4 {x}^{2} + 6xy + 10xy + 15 {y}^{2} }[/tex]

   [tex] \sf{ =4 {x}^{2} + 16xy + 15 {y}^{2} }[/tex]

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