What is factor u+au-v-av-w-aw ?

The solution to factor u+au-v-av-w-aw is (1+a)(u-v-w)

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factor u+au-v-av-w-aw

factor

u + a u - v - a v - w - a w

(1 + a) (u - v - w)

Solution steps

u + a u - v - a v - w - a w

Factor out common term

u

= u (1 + a) - v - a v - w - a w

Factor out common term

v

= u (1 + a) - v (1 + a) - w - a w

Factor out common term

(1 + a)

= (1 + a) (u - v) - w - a w

Factor out common term

w

= (1 + a) (u - v) - w (1 + a)

Factor out common term

(1 + a)

= (1 + a) (u - v - w)

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What is factor u+au-v-av-w-aw ?
The solution to factor u+au-v-av-w-aw is (1+a)(u-v-w)