What is ((8m^7-10m^5))/(2m^3) ?

The solution to ((8m^7-10m^5))/(2m^3) is m^2(4m^2-5)

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simplify ((8m^7-10m^5))/(2m^3)

simplify

\frac{( 8 m ^{7} - 10 m ^{5} )}{2 m ^{3}}

m^{2} (4 m^{2} - 5)

Solution steps

\frac{8 m ^{7} - 10 m ^{5}}{2 m ^{3}}

Factor

8 m^{7} - 10 m^{5} : 2 m^{5} (4 m^{2} - 5)

= \frac{2 m ^{5} ( 4 m ^{2} - 5 )}{2 m ^{3}}

Cancel the common factor:

2

= \frac{m ^{5} ( 4 m ^{2} - 5 )}{m ^{3}}

Apply exponent rule:

a^{b + c} = a^{b} \cdot a^{c}

m^{5} = m^{3} m^{2}

= \frac{m ^{3} m ^{2} ( 4 m ^{2} - 5 )}{m ^{3}}

Cancel the common factor:

m^{3}

= m^{2} (4 m^{2} - 5)

\frac{x ^{2} + 7 x}{2 x ^{2}}

\frac{9}{4} + \frac{3}{2}

2 m - [n - (m - 2 n)]

3 x \cdot 1

- 2 - 3 i

What is ((8m^7-10m^5))/(2m^3) ?
The solution to ((8m^7-10m^5))/(2m^3) is m^2(4m^2-5)