Math, asked by rifa9, 1 year ago

find the product of 30 question

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Answered by tejasgupta
2

Heya !!

(2x + 5y)(3x + 4y) - (7x + 3y)(2x + y) \\\\= [6x^2 + 8xy + 15xy + 20y^2]-[14x^2 + 7xy + 6xy + 3y^2]\\\\= [6x^2 + 23xy + 20y^2] - [14x^2 + 13xy + 3y^2]\\\\= 6x^2 + 23xy + 20y^2 - 14x^2 - 13 xy - 3y^2 \\\\= 6x^2 - 14x^2 + 23xy - 13xy + 20y^2 - 3y^2\\\\\large = \underline{\boxed{\boxed{-8x^2 + 10xy + 17y^2}}}

Hope it helps !!

Answered by BrainlyQueen01
9

Hi there!


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Solution :


( 2x + 5y ) ( 3x + 4 y ) - ( 7x + 3y ) ( 2x + y )


⇒[2x ( 3x + 4 y ) + 5y ( 3x + 4 y )] - [7x ( 2x + y ) + 3y  ( 2x + y )]


⇒ [6x² + 8xy + 15xy + 20y²] - [14x² + 7xy + 6xy + 3y²]


⇒ [6x² + 23xy + 20y²] - [ 14x² + 13xy + 3y²]


⇒ 6x² + 23xy + 20y² - 14x² - 13xy - 3y²


⇒ - 8x² + 10xy + 17y²



Hence,


The final answer is - 8x² + 10xy + 17y².


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Thanks for the question!


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