What is factor AX+BX+CX+AY+BY+CY-A-B-C ?

The solution to factor AX+BX+CX+AY+BY+CY-A-B-C is (-1+X+Y)(A+B+C)

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factor AX+BX+CX+AY+BY+CY-A-B-C

factor

A X + BX + CX + A Y + B Y + C Y - A - B - C

(- 1 + X + Y) (A + B + C)

Solution steps

A X + BX + CX + A Y + B Y + C Y - A - B - C

Factor out common term

A

= A (X + Y - 1) + BX + CX + B Y + C Y - B - C

Factor out common term

B

= A (- 1 + X + Y) + B (X + Y - 1) + CX + C Y - C

Factor out common term

(- 1 + X + Y)

= (- 1 + X + Y) (A + B) + CX + C Y - C

Factor out common term

C

= (- 1 + X + Y) (A + B) + C (X + Y - 1)

Factor out common term

(- 1 + X + Y)

= (- 1 + X + Y) (A + B + C)

\frac{- 5 a - 5 b}{a + b}

tan^{2} (x) [1 - sin (x)]

(8 + h)^{- 1} - 8^{- 1}

2 x - 2 y - a x + a y

l {sin (k) t}

What is factor AX+BX+CX+AY+BY+CY-A-B-C ?
The solution to factor AX+BX+CX+AY+BY+CY-A-B-C is (-1+X+Y)(A+B+C)