Simplifique a expressão: (m/m-n - 1/2) . m²-n²/n
Por favor!!!
Soluções para a tarefa
a^2-b^2=\left(a+b\right)\cdot \left(a-b\right)a
2
−b
2
=(a+b)⋅(a−b)
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\begin{lgathered}\left(\dfrac{m}{m-n}-\dfrac{1}{2}\right)\cdot \dfrac{m^2-n^2}{n}\\\\\left(\dfrac{2m-\left(m-n\right)}{2\left(m-n\right)}\right)\cdot \dfrac{m^2-n^2}{n}\\\\\left(\dfrac{m+n}{2\left(m-n\right)}\right)\cdot \dfrac{m^2-n^2}{n}\\\\\dfrac{m+n}{2\left(m-n\right)}\cdot \dfrac{\left(m+n\right)\cdot \left(m-n\right)}{n}\\\\\dfrac{m+n}{2}\cdot \dfrac{\left(m+n\right)}{n}\\\\\dfrac{m+n}{2}\cdot \dfrac{m+n}{n}\\\\\boxed{\bold{\frac{\left(m+n\right)^2}{2m}}}\end{lgathered}
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m−n
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)⋅
n
m
2
−n
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(
2(m−n)
2m−(m−n)
)⋅
n
m
2
−n
2
(
2(m−n)
m+n
)⋅
n
m
2
−n
2
2(m−n)
m+n
⋅
n
(m+n)⋅(m−n)
2
m+n
⋅
n
(m+n)
2
m+n
⋅
n
m+n
2m
(m+n)
2