What is factor ax+ay-az-bx-by+bz ?

The solution to factor ax+ay-az-bx-by+bz is (x+y-z)(a-b)

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factor ax+ay-az-bx-by+bz

factor

a x + a y - a z - b x - b y + b z

(x + y - z) (a - b)

Solution steps

a x + a y - a z - b x - b y + b z

Factor out common term

a

= a (x + y - z) - b x - b y + b z

Factor out common term

b

= a (x + y - z) + b (- x - y + z)

Rewrite as

= (x + y - z) a - (x + y - z) b

Factor out common term

(x + y - z)

= (x + y - z) (a - b)

5 5 + 55

(5 x^{25}) (x + 5)

(2 + x)^{3} - 2^{3}

\frac{- 28}{4}

4 x^{2} + 9 - 25

What is factor ax+ay-az-bx-by+bz ?
The solution to factor ax+ay-az-bx-by+bz is (x+y-z)(a-b)