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Expansion of (a+b+c)^2

Simplify : 5...

Question

Simplify :
$5 m^{3} - m + 6 m^{2} - (3 m^{2} - 2 + m)$

m^{3} + m^{2}

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5 m^{3} + 3 m^{2} - 2 m + 2

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m^{3} - m^{2}

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3 m^{3} + m^{2} - m + 2

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Solution

The correct option is B $5 m^{3} + 3 m^{2} - 2 m + 2$
$5 m^{3} - m + 6 m^{2} - (3 m^{2} - 2 + m)$
$= 5 m^{3} - m + 6 m^{2} - 3 m^{2} + 2 - m$
$= 5 m^{3} + 3 m^{2} - 2 m + 2$

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m (m^{3} - m^{2} + 1) - 2 (m^{4} - m^{3} - 1) + m^{2} (m^{2} - m + 2)

\frac{m^{2} - n^{2}}{{(m + n)}^{2}} \times \frac{m^{2} + m n + n^{2}}{m^{3} - n^{3}}

y^{2} + \frac{1}{y} = 2

x + \frac{1}{x} = - 2

5 m^{2} + 3 m + 8; m^{3} - 6 m^{2} + 4 m; m^{3} - m^{2} - m + 5

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