What is expand (x-a)(x-b)(x-c) ?

The solution to expand (x-a)(x-b)(x-c) is x^3-x^2c-x^2b+bcx-ax^2+acx+abx-abc

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expand (x-a)(x-b)(x-c)

expand

(x - a) (x - b) (x - c)

x^{3} - x^{2} c - x^{2} b + b c x - a x^{2} + a c x + ab x - ab c

Solution steps

(x - a) (x - b) (x - c)

Expand

(x - a) (x - b) (x - c) : (x^{2} - b x - a x + ab) (x - c)

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

Distribute parentheses

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

Simplify

x^{2} x + x^{2} (- c) - b xx - b x (- c) - a xx - a x (- c) + ab x + ab (- c) : x^{3} - x^{2} c - x^{2} b + b c x - a x^{2} + a c x + ab x - ab c

= x^{3} - x^{2} c - x^{2} b + b c x - a x^{2} + a c x + ab x - ab c

- 3^{- 1} + 3

lo g_{10} (3^{2})

\frac{28}{6}

(7 + x)^{2}

(x - 6) (x - 2) (x - 3)

What is expand (x-a)(x-b)(x-c) ?
The solution to expand (x-a)(x-b)(x-c) is x^3-x^2c-x^2b+bcx-ax^2+acx+abx-abc