Multiply (2m+ (-n)) by (-3m+ (-5)) and find the value of the product when m= 1 and n = -1​

2 thoughts on “Multiply (2m+ (-n)) by (-3m+ (-5)) and find the value of the product when m= 1 and n = -1​”

1. Given

   We have given m= 1 & n=-1

   To Find

   we have to find value of product

   [tex]\sf\huge\bold{\underline{\underline{{Solution}}}}[/tex]

   ⇢(2m+(-n) by (-3m+(-5))

   First step is to solve values inside brackets.

   ⇢(2m-n) by (-3m-5)

   ⇢(2m-n)×(-3m-5)

   we have solved values inside brackets.Now, Multiply each and every values of first term with the second term.

   ⇢2m(-3m-5) -n(-3m-5)

   ⇢-6m²-10m+3mn+5n

   Now, we obtained the Equation

   Put m = 1 & n= -1 into equation

   ⇢-6(1)²-10(1)+3(1)(-1)+5(-1)

   ⇢6-10-3-5

   ⇢-4-8

   = -12

   Hence,value of product is -12

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2. [tex]\large\textsf{ }[/tex]

   [tex]\LARGE\textsf{\underline\textcolor{aqua}{✯\; QuEsTiOn :-}}[/tex]

   [tex]\large\textsf{ }[/tex]

   • Multiply [ 2m+ (-n)] by [ -3m+ (-5)] and find the value of the product when m= 1 and n = -1 .

   [tex]\large\textsf{ }[/tex]

   [tex]\LARGE\textsf{\underline\textcolor{aqua}{✯\; GiVeN :-}}[/tex]

   [tex]\large\textsf{ }[/tex]

   • The value of m = 1 and n = – 1

   [tex]\large\textsf{ }[/tex]

   [tex]\LARGE\textsf{\underline\textcolor{aqua}{✯\; To FiNd :-}}[/tex]

   [tex]\large\textsf{ }[/tex]

   • The value of the product = ?

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   [tex]\LARGE\textsf{\underline\textcolor{aqua}{✯\; SoLuTiOn :-}}[/tex]

   [tex]\large\textsf{ }[/tex]

   [tex]\qquad\tt{:}\longrightarrow\large\textsf{[ 2m + ( – n ) ] × [ – 3m + ( – 5 ) ]}[/tex]

   [tex]\qquad\tt{:}\longrightarrow\large\textsf{( 2m – n ) × ( – 3m – 5 )}[/tex]

   [tex]\qquad\tt{:}\longrightarrow\large\textsf{2m ( 3m – 5 ) – n ( – 3m – 5 )}[/tex]

   [tex]\qquad\tt{:}\longrightarrow\boxed{\large\textsf\textcolor{red}{6m² – 10m + 3mn + 5n }}[/tex]

   [tex]\large\textsf{ }[/tex]

   • Substituting the value of m = 1 and n = – 1 in the calculated Answer :-

   [tex]\large\textsf{ }[/tex]

   [tex]\qquad\tt{:}\longrightarrow\large\textsf{6m² – 10m + 3mn + 5n }[/tex]

   [tex]\qquad\tt{:}\longrightarrow\large\textsf{( 6 × 1² ) – ( 10 × 1 ) + ( 3 × 1 × – 1 ) + ( 5 × – 1 )}[/tex]

   [tex]\qquad\tt{:}\longrightarrow\large\textsf{6 – 10 – 3 – 5 }[/tex]

   [tex]\qquad\tt{:}\longrightarrow\boxed{\large\textsf\textcolor{red}{- 12 }}[/tex]

   [tex]\large\textsf{ }[/tex]

   [tex]\boxed{\large\textsf\textcolor{orange}{∴ The value of the product = – 12}}[/tex]

   [tex]\large\textsf{ }[/tex]

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