What is factor mz-5mh^2-5nz+25nh^2 ?

The solution to factor mz-5mh^2-5nz+25nh^2 is (z-5h^2)(m-5n)

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factor mz-5mh^2-5nz+25nh^2

factor

m z - 5 m h^{2} - 5 n z + 25 n h^{2}

(z - 5 h^{2}) (m - 5 n)

Solution steps

m z - 5 m h^{2} - 5 n z + 25 n h^{2}

Factor out common term

m

= m (z - 5 h^{2}) - 5 n z + 25 n h^{2}

Rewrite as

= m (z - h^{2} \cdot 5) - 5 n z + 5 \cdot 5 n h^{2}

Factor out common term

5 n

= m (z - h^{2} \cdot 5) + 5 n (- z + 5 h^{2})

Rewrite as

= (z - h^{2} \cdot 5) m - 5 (z - h^{2} \cdot 5) n

Factor out common term

(z - h^{2} \cdot 5)

= (z - h^{2} \cdot 5) (m - 5 n)

10 x^{2} + 10 x - 698 = 0

(x - 1) (x + 6) (x - 4) \geq 0

- 10 = - 10 + 7 m

2 (x + 5) = 16

- 2 x + \frac{1}{4} = \frac{1}{4} x + \frac{1}{8}

What is factor mz-5mh^2-5nz+25nh^2 ?
The solution to factor mz-5mh^2-5nz+25nh^2 is (z-5h^2)(m-5n)