What is factor ab+b^2-ac-bc ?

The solution to factor ab+b^2-ac-bc is (b-c)(a+b)

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factor ab+b^2-ac-bc

factor

ab + b^{2} - a c - b c

(b - c) (a + b)

Solution steps

ab + b^{2} - a c - b c

Factor out common term

a

= a (b - c) + b^{2} - b c

Apply exponent rule:

a^{b + c} = a^{b} a^{c}

b^{2} = bb

= a (b - c) + bb - b c

Factor out common term

b

= a (b - c) + b (b - c)

Factor out common term

(b - c)

= (b - c) (a + b)

6 (2 p + q)^{2} + (2 p + q) - 2

3 b z - b y - 9 m z + 3 m y

4 x z - 4 yz - x + y

e^{2} + e^{3}

25 (π)