Mathematics
8 Online
OpenStudy (alivejeremy):
Simplify.
2m2 – 4n2 + 3m – 6m2 – 2m + 7n2
A.
−4m2 + 3n2 + m
B.
−4m2 + 3n2
C.
–36m + 28n
D.
9m2 + 6m + 11n2
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OpenStudy (alivejeremy):
@Mehek14
OpenStudy (alivejeremy):
i think its B or A
OpenStudy (alivejeremy):
can someone help me
OpenStudy (alivejeremy):
can someone help me
OpenStudy (michele_laino):
hint:
I can rewrite the original expression, grouping similar terms, like below:
\[\left( {2{m^2} - 6{m^2}} \right) + \left( {7{n^2} - 4{n^2}} \right) + \left( {3m - 2n} \right) = ...?\]
please continue
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OpenStudy (alivejeremy):
thanks for the hint but i still barly get it
OpenStudy (michele_laino):
oops.. I have made a typo:
\[\left( {2{m^2} - 6{m^2}} \right) + \left( {7{n^2} - 4{n^2}} \right) + \left( {3m - 2m} \right) = ...?\]
OpenStudy (michele_laino):
for example, what is:
\(2m^2-6m^2=(2-6)m^2=...?\)
OpenStudy (alivejeremy):
i have no idea
OpenStudy (michele_laino):
what is \(2-6=...?\)
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OpenStudy (alivejeremy):
4
OpenStudy (michele_laino):
it is \(-4\), since \(-4+6=2\)
so the first term is:
\(-2m^2\)
OpenStudy (michele_laino):
similarly, what is:
\(7n^2-4n^2=(7-4)n^2=...?\)
OpenStudy (michele_laino):
hint:
what is \(7-4=...?\)
OpenStudy (alivejeremy):
3
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OpenStudy (michele_laino):
perfect! So, the second term is \(3n^2\)
finally, what is:
\(3m-2m=(3-2)m=...?\)
OpenStudy (michele_laino):
hint:
\(3-2=...?\)
OpenStudy (alivejeremy):
1
OpenStudy (michele_laino):
that's right!
so the third term is: \(m\), and the final result is:
\(-4m^2+3n^2+m\)
So, what is the right option?
OpenStudy (alivejeremy):
-1
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OpenStudy (michele_laino):
I meant what is the right option:
A, B, C or D?
OpenStudy (alivejeremy):
B
OpenStudy (alivejeremy):
?
OpenStudy (michele_laino):
we got the result, from the discussion above, such result is:
\[\begin{gathered}
\left( {2{m^2} - 6{m^2}} \right) + \left( {7{n^2} - 4{n^2}} \right) + \left( {3m - 2m} \right) = ...? \hfill \\
\hfill \\
= - 4{m^2} + 3{n^2} + m \hfill \\
\end{gathered} \]
OpenStudy (michele_laino):
so, what is the right option: A, B, C or D?
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OpenStudy (anonymous):
Medal Michele
OpenStudy (michele_laino):
option B is not the right option, since it contains only two terms, whereas the final result contains three terms
OpenStudy (alivejeremy):
i meant to say A
OpenStudy (michele_laino):
that's right! :)
OpenStudy (anonymous):
Good job! :)
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OpenStudy (michele_laino):
thanks!! :) @FireFang
OpenStudy (anonymous):
No problem!|dw:1450975922596:dw|