Question

Find the product of (3x+2y)(5x-4y)​

Answer 1

$\maltese\LARGE\textsf{\underline{ SoLuTioN :-}}$

$\large\textsf{ }$

$\qquad\tt{:}\longrightarrow\large\textsf{( 3x + 2y )( 5x - 4y )}$

$\qquad\tt{:}\longrightarrow\large\textsf{3x ( 5x - 4y ) + 2y ( 5x - 4y )}$

$\qquad\tt{:}\longrightarrow\large\textsf{15x² - 12xy + 10xy - 8y² }$

$\qquad\tt{:}\longrightarrow\boxed{\large\textsf\textcolor{red}{15x² - 2xy - 8y²}}$

$\large\textsf{ }$

$\maltese\LARGE\textsf{\underline{ AlGeBrAiC fOrMuLaS :-}}$

$\large\textsf{ }$

$\boxed{\begin{array}{| c | }\qquad\tt{:}\longrightarrow\large\textsf{( a + b )² = a² + b² + 2ab}\\\\\\\qquad\tt{:}\longrightarrow\large\textsf{( a - b )² = a² + b² - 2ab}\\\\\\\qquad\tt{:}\longrightarrow\large\textsf{a² - b² = ( a + b ) ( a - b )}\\\\\\\qquad\tt{:}\longrightarrow\large\textsf{a² + b² = ( a + b )² - 2ab}\\\\\\\qquad\tt{:}\longrightarrow\large\textsf{a³ + b³ = ( a + b ) ( a² - 2ab + b² )}\\\\\\\qquad\tt{:}\longrightarrow\large\textsf{a³ - b³ = ( a - b ) ( a² + ab + b² )}\\\\\\\qquad\tt{:}\longrightarrow\large\textsf{( a + b + c )² = a² + b² + c² + 2ab + 2bc + 2ac }\end{array}}$

$\large\textsf{ }$

Answer 2

Answer:

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

=(3x)^2+(2y)^2+2(3x)(2y)+(5x)^2+(-4y)^2-2(5x)(4y)

=9x^2+4y ^2+12xy+25x^2+16y^2-40xy

=34x^2+20y2-28xy

hope it is helpfull