What is factor 75g^3h^2-125gh ?

The solution to factor 75g^3h^2-125gh is 25gh(3g^2h-5)

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factor 75g^3h^2-125gh

factor

75 g^{3} h^{2} - 125 g h

25 g h (3 g^{2} h - 5)

Solution steps

75 g^{3} h^{2} - 125 g h

Apply exponent rule:

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

g^{3} h^{2} = g g^{2} hh

= 75 g g^{2} hh - 125 g h

Rewrite

- 125

5 \cdot 25

Rewrite

75

3 \cdot 25

= 3 \cdot 25 g g^{2} hh + 5 \cdot 25 g h

Factor out common term

25 g h

= 25 g h (3 g^{2} h - 5)

(27 t^{3})^{\frac{2}{3}}

x + 1.6 = 0.8

\frac{10 x y}{5 y}

4 x - 5 \leq - 25

\frac{- 3}{7} + \frac{- 2}{5} + \frac{9}{70}

What is factor 75g^3h^2-125gh ?
The solution to factor 75g^3h^2-125gh is 25gh(3g^2h-5)