Respuesta :
Hey there !
Answer:
- -5 is the answer
Step-by-step explanation:
In this question we are given with an expression that is -2mn + n - 3m , value of m as -3 , value of n as -2 . And we are asked to evaluate the expression .
Solution : -
For solving such types of expression in which we are provided with values of variables we need to substitute value of variable ( in given equation m and n ) and solve them .
Expression :
[tex] \longmapsto \: \qquad \: \rm{- 2mn + n - 3mn}[/tex]
Substituting value of m and n :
[tex] \longmapsto \: \qquad \: - 2( - 3)( - 2) + ( - 2) - 3( - 3)[/tex]
Simplifying it :
[tex]\longmapsto \: \qquad \: - 2(6) - 2 + 9[/tex]
Multiplying -2 and 6 :
[tex]\longmapsto \: \qquad \: - 12 - 2 + 9[/tex]
Adding -12 and -2 :
[tex]\longmapsto \: \qquad \: - 14 + 9[/tex]
Solving -14 and 9 :
[tex]\longmapsto \: \qquad \: \underline{ \blue{\boxed{\frak{- 5}}}} \quad \bigstar[/tex]
- Henceforth , ❝ -5 ❞ is the answer .
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We are asked to evaluate the expression
[tex]\star~\mathrm{-2mn+n-3m}~\star[/tex]
for
[tex]\star~\mathrm{m=-3}~\star[/tex]
[tex]\star~\mathrm{n=-2}~\star[/tex]
[tex]\triangle~\fbox{\bf{KEY:}}[/tex]
- Substitute the values of m and n into the expression.
So, let's compute...
//\\\///\\\///\\\////\\\///\\\///\\\///\\\///\\\///\\\///\\\////\\\///\\\///\\\///\\\///\\\///\\\///\\\///\
Evaluating the expression
Since the value of m is -3, we should substitute -3 for m:
[tex]\star~\mathrm{-2(-3)n+n-3(-3)}[/tex]
Since the value of n is -2, we should substitute -2 for n:
[tex]\star~\mathrm{-2(-3)(-2)+(-2)-3(-3)}[/tex]
Simplify!
[tex]\star\mathrm{6(-2)-2+9}[/tex]
Simplify more!
[tex]\star\mathrm{-12-2+9}[/tex]
[tex]\star~\mathrm{-14+9}[/tex]
[tex]\boxed{\mathrm{-5}}[/tex]
Hope it helps you out! :D
Ask in comments if any queries arise.
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