What is factor ax+bx+cx+ay+by+cy ?

The solution to factor ax+bx+cx+ay+by+cy is (x+y)(a+b+c)

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factor ax+bx+cx+ay+by+cy

factor

a x + b x + c x + a y + b y + cy

(x + y) (a + b + c)

Solution steps

a x + b x + c x + a y + b y + cy

Factor out common term

a

= a (x + y) + b x + c x + b y + cy

Factor out common term

b

= a (x + y) + b (x + y) + c x + cy

Factor out common term

(x + y)

= (x + y) (a + b) + c x + cy

Factor out common term

c

= (x + y) (a + b) + c (x + y)

Factor out common term

(x + y)

= (x + y) (a + b + c)

4 a x - 9 b + 3 a - 12 b x

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

\frac{- 25 + 5 51}{2}

(a x + b y)^{2} + (a y - b x)^{2}

(cos (2 π t))^{2}

What is factor ax+bx+cx+ay+by+cy ?
The solution to factor ax+bx+cx+ay+by+cy is (x+y)(a+b+c)