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Expression simplification/ Factorization polynomials/ m^2+m-2

Factor polynomial m^2+m-2

An expression to simplify:

The solution

You have entered [src] 
 2        
m  + m - 2
$$\left(m^{2} + m\right) - 2$$ 
m^2 + m - 2
The perfect square
Let's highlight the perfect square of the square three-member
$$\left(m^{2} + m\right) - 2$$
To do this, let's use the formula
$$a m^{2} + b m + c = 4 a m^{2} + n$$
where
$$m = \frac{b}{2 a}$$
$$n = \frac{4 a c - b^{2}}{4 a}$$
In this case
$$a = 1$$
$$b = 1$$
$$c = -2$$
Then
$$m = \frac{1}{2}$$
$$n = - \frac{9}{4}$$
So,
$$- \frac{5}{4}$$
General simplification [src] 
          2
-2 + m + m
$$m^{2} + m - 2$$ 
-2 + m + m^2
Factorization [src] 
(m + 2)*(m - 1)
$$\left(m - 1\right) \left(m + 2\right)$$ 
(m + 2)*(m - 1)
Numerical answer [src] 
-2.0 + m + m^2
-2.0 + m + m^2
Assemble expression [src] 
          2
-2 + m + m
$$m^{2} + m - 2$$ 
-2 + m + m^2
Rational denominator [src] 
          2
-2 + m + m
$$m^{2} + m - 2$$ 
-2 + m + m^2
Common denominator [src] 
          2
-2 + m + m
$$m^{2} + m - 2$$ 
-2 + m + m^2
Combining rational expressions [src] 
-2 + m*(1 + m)
$$m \left(m + 1\right) - 2$$ 
-2 + m*(1 + m)
Combinatorics [src] 
(-1 + m)*(2 + m)
$$\left(m - 1\right) \left(m + 2\right)$$ 
(-1 + m)*(2 + m)
Powers [src] 
          2
-2 + m + m
$$m^{2} + m - 2$$ 
-2 + m + m^2
Trigonometric part [src] 
          2
-2 + m + m
$$m^{2} + m - 2$$ 
-2 + m + m^2
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