What is m(m^3-5m^2+7m)-m(m^2-1) ?

The solution to m(m^3-5m^2+7m)-m(m^2-1) is m^4-6m^3+7m^2+m

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simplify m(m^3-5m^2+7m)-m(m^2-1)

simplify

m (m^{3} - 5 m^{2} + 7 m) - m (m^{2} - 1)

m^{4} - 6 m^{3} + 7 m^{2} + m

Solution steps

m (m^{3} - 5 m^{2} + 7 m) - m (m^{2} - 1)

Expand

m (m^{3} - 5 m^{2} + 7 m) : m^{4} - 5 m^{3} + 7 m^{2}

= m^{4} - 5 m^{3} + 7 m^{2} - m (m^{2} - 1)

Expand

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

= m^{4} - 5 m^{3} + 7 m^{2} - m^{3} + m

Group like terms

= m^{4} - 5 m^{3} - m^{3} + 7 m^{2} + m

Add similar elements:

- 5 m^{3} - m^{3} = - 6 m^{3}

= m^{4} - 6 m^{3} + 7 m^{2} + m

((x - 1) + x^{2}) ((x - 1) - x^{2})

10 (- 7 x + y) + 10 y - 7 (- 2 y + 8 x)

\frac{( 3 + h ) ^{- 1} - 3 ^{- 1}}{h}

\frac{6}{11} (w - 121)

What is m(m^3-5m^2+7m)-m(m^2-1) ?
The solution to m(m^3-5m^2+7m)-m(m^2-1) is m^4-6m^3+7m^2+m