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

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

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factor ab-bc-ac+c^2

factor

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

(b - c) (a - c)

Solution steps

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

Factor out common term

a

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

Apply exponent rule:

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

c^{2} = cc

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

Factor out common term

c

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

Rewrite as

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

Factor out common term

(b - c)

= (b - c) (a - c)

2 x^{2} - 9 x + 4 = 0

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1 - \frac{x + 2}{3} = x