How do you subtract $(- 5 m^{2} - m) - (3 m^{2} + 4 m - 5)$ $(-5m^2-m)-(3m^2+4m-5)$ ?

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How do you subtract $(- 5 m^{2} - m) - (3 m^{2} + 4 m - 5)$ $(-5m^2-m)-(3m^2+4m-5)$ ?

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Answer 1 · 2014-12-10T18:58:46

When dealing with expressions like this, you must always concert yourself with like terms. The expression can be rewritten as

$- 5 m^{2} - m - 3 m^{2} - 4 m + 5$ $-5m^2 -m -3m^2 -4m +5$

Now, you can only add or substract terms that have $m^{2}$ $m^2$ with terms that have $m^{2}$ $m^2$ ; likewise, terms that have $m$ $m$ can only be added to or substarcted from terms that have $m$ $m$ . So, we would get

$- 5 m^{2} - 3 m^{2} - m - 4 m + 5 = - 8 m^{2} - 5 m + 5$ $-5m^2 - 3m^2 -m - 4m +5 = -8m^2 - 5m +5$

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How do you subtract $(- 5 m^{2} - m) - (3 m^{2} + 4 m - 5)$ $(-5m^2-m)-(3m^2+4m-5)$ ?

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How do you subtract $(- 5 m^{2} - m) - (3 m^{2} + 4 m - 5)$ $(-5m^2-m)-(3m^2+4m-5)$ ?