Question

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

Answer 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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Answer 2

SOLUTION

TO DETERMINE

The value of

$\sf{(2x + 5y)(2x + 3y)}$

FORMULA TO BE IMPLEMENTED

We are aware of the formula that

$\sf{(x + a)(x + b) = {x}^{2} + (a + b)x + ab}$

EVALUATION

$\sf{(2x + 5y)(2x + 3y)}$

$\sf{ =2x(2x + 3y) + 5y(2x + 3y)}$

$\sf{ =4 {x}^{2} + 6xy + 10xy + 15 {y}^{2} }$

$\sf{ =4 {x}^{2} + 16xy + 15 {y}^{2} }$

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