What is factor 8mc+15nd-10md-12nc ?

The solution to factor 8mc+15nd-10md-12nc is (4c-5d)(2m-3n)

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factor 8mc+15nd-10md-12nc

factor

8 m c + 15 n d - 10 m d - 12 n c

(4 c - 5 d) (2 m - 3 n)

Solution steps

8 m c + 15 n d - 10 m d - 12 n c

Factor

8 m c - 10 m d : 2 m (4 c - 5 d)

Factor

15 n d - 12 n c : 3 n (5 d - 4 c)

= 2 m (4 c - 5 d) + 3 n (5 d - 4 c)

Rewrite as

= 2 (4 c - 5 d) m - 3 (4 c - 5 d) n

Factor out common term

(4 c - 5 d)

= (4 c - 5 d) (2 m - 3 n)

a^{2 x + 6} - 9^{6 y}

x y - x n + 3 y - 3 n

cos (θ) e^{ik x} + sin (θ) e^{- ik x}

A \cdot B + (A \cdot C) + (B \cdot C)

What is factor 8mc+15nd-10md-12nc ?
The solution to factor 8mc+15nd-10md-12nc is (4c-5d)(2m-3n)