What is factor am+bm+cm-an-bn-cn ?

The solution to factor am+bm+cm-an-bn-cn is (m-n)(a+b+c)

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factor am+bm+cm-an-bn-cn

factor

am + bm + c m - an - bn - c n

(m - n) (a + b + c)

Solution steps

am + bm + c m - an - bn - c n

Factor out common term

a

= a (m - n) + bm + c m - bn - c n

Factor out common term

b

= a (m - n) + b (m - n) + c m - c n

Factor out common term

(m - n)

= (m - n) (a + b) + c m - c n

Factor out common term

c

= (m - n) (a + b) + c (m - n)

Factor out common term

(m - n)

= (m - n) (a + b + c)

\frac{d}{d t} ((x) (5 e^{2 t}))

e^{x} (10 + 4 x) - 4 e^{x}

64 - 48 x^{2} + 12 x^{4} - x^{6}

(x + a)^{3} - (x - a)^{3}

(x + 2) (x + 3) - 4 (x + 4)

What is factor am+bm+cm-an-bn-cn ?
The solution to factor am+bm+cm-an-bn-cn is (m-n)(a+b+c)