What is factor (a+b+1)^2-(a+b+1)(x-2)+(a+b+1) ?

The solution to factor (a+b+1)^2-(a+b+1)(x-2)+(a+b+1) is (a+b+1)(-x+a+b+4)

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factor (a+b+1)^2-(a+b+1)(x-2)+(a+b+1)

factor

(a + b + 1)^{2} - (a + b + 1) (x - 2) + (a + b + 1)

(a + b + 1) (- x + a + b + 4)

Solution steps

(a + b + 1)^{2} - (a + b + 1) (x - 2) + (a + b + 1)

Factor out common term

(a + b + 1) : (a + b + 1) (a + b + 2 - (x - 2))

= (a + b + 1) (a + b + 2 - (x - 2))

Expand

a + b + 2 - (x - 2) : - x + a + b + 4

= (a + b + 1) (- x + a + b + 4)

- 1^{- \frac{1}{3}}

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

\frac{3}{5} \div 6

\frac{( x ^{3} - 8 )}{x - 2}

(3) (5 - 10)

What is factor (a+b+1)^2-(a+b+1)(x-2)+(a+b+1) ?
The solution to factor (a+b+1)^2-(a+b+1)(x-2)+(a+b+1) is (a+b+1)(-x+a+b+4)