Sr Examen
Factorizar el polinomio m^3*n^2+2*m^2*n^3-m^2*n^2
Solución
Ha introducido
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3 2 2 3 2 2 m *n + 2*m *n - m *n
$$- m^{2} n^{2} + \left(m^{3} n^{2} + 2 m^{2} n^{3}\right)$$
m^3*n^2 + (2*m^2)*n^3 - m^2*n^2
Simplificación general
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2 2 m *n *(-1 + m + 2*n)
$$m^{2} n^{2} \left(m + 2 n - 1\right)$$
m^2*n^2*(-1 + m + 2*n)
Factorización
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m*(m + -1 + 2*n)*n
$$n m \left(m + \left(2 n - 1\right)\right)$$
(m*(m - 1 + 2*n))*n
Parte trigonométrica
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3 2 2 2 2 3 m *n - m *n + 2*m *n
$$m^{3} n^{2} + 2 m^{2} n^{3} - m^{2} n^{2}$$
m^3*n^2 - m^2*n^2 + 2*m^2*n^3
Denominador racional
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3 2 2 2 2 3 m *n - m *n + 2*m *n
$$m^{3} n^{2} + 2 m^{2} n^{3} - m^{2} n^{2}$$
m^3*n^2 - m^2*n^2 + 2*m^2*n^3
Denominador común
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3 2 2 2 2 3 m *n - m *n + 2*m *n
$$m^{3} n^{2} + 2 m^{2} n^{3} - m^{2} n^{2}$$
m^3*n^2 - m^2*n^2 + 2*m^2*n^3
Compilar la expresión
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2 / 3 2\ 2 3 n *\m - m / + 2*m *n
$$2 m^{2} n^{3} + n^{2} \left(m^{3} - m^{2}\right)$$
3 2 2 2 2 3 m *n - m *n + 2*m *n
$$m^{3} n^{2} + 2 m^{2} n^{3} - m^{2} n^{2}$$
2 / 2 3\ 3 2 m *\- n + 2*n / + m *n
$$m^{3} n^{2} + m^{2} \left(2 n^{3} - n^{2}\right)$$
m^2*(-n^2 + 2*n^3) + m^3*n^2
Combinatoria
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2 2 m *n *(-1 + m + 2*n)
$$m^{2} n^{2} \left(m + 2 n - 1\right)$$
m^2*n^2*(-1 + m + 2*n)
Potencias
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3 2 2 2 2 3 m *n - m *n + 2*m *n
$$m^{3} n^{2} + 2 m^{2} n^{3} - m^{2} n^{2}$$
m^3*n^2 - m^2*n^2 + 2*m^2*n^3
Unión de expresiones racionales
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2 2 m *n *(-1 + m + 2*n)
$$m^{2} n^{2} \left(m + 2 n - 1\right)$$
m^2*n^2*(-1 + m + 2*n)