Question

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

Answer 1

Given

We have given m= 1 & n=-1

To Find

we have to find value of product

$\sf\huge\bold{\underline{\underline{{Solution}}}}$

⇢(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

Answer 2

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$\LARGE\textsf{\underline\textcolor{aqua}{✯\; QuEsTiOn :-}}$

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

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$\LARGE\textsf{\underline\textcolor{aqua}{✯\; GiVeN :-}}$

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• The value of m = 1 and n = - 1

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$\LARGE\textsf{\underline\textcolor{aqua}{✯\; To FiNd :-}}$

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• The value of the product = ?

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$\LARGE\textsf{\underline\textcolor{aqua}{✯\; SoLuTiOn :-}}$

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

$\qquad\tt{:}\longrightarrow\large\textsf{( 2m - n ) × ( - 3m - 5 )}$

$\qquad\tt{:}\longrightarrow\large\textsf{2m ( 3m - 5 ) - n ( - 3m - 5 )}$

$\qquad\tt{:}\longrightarrow\boxed{\large\textsf\textcolor{red}{6m² - 10m + 3mn + 5n }}$

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

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$\qquad\tt{:}\longrightarrow\large\textsf{6m² - 10m + 3mn + 5n }$

$\qquad\tt{:}\longrightarrow\large\textsf{( 6 × 1² ) - ( 10 × 1 ) + ( 3 × 1 × - 1 ) + ( 5 × - 1 )}$

$\qquad\tt{:}\longrightarrow\large\textsf{6 - 10 - 3 - 5 }$

$\qquad\tt{:}\longrightarrow\boxed{\large\textsf\textcolor{red}{- 12 }}$

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$\boxed{\large\textsf\textcolor{orange}{∴ The value of the product = - 12}}$

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