Solve (x-r)(x-r_2)(x-r_3)

Evaluate

(x - r) (x - r_{2}) (x - r_{3})

Multiply the terms

More Steps

(x^{2} - x r_{2} - r x + r r_{2}) (x - r_{3})

Apply the distributive property

x^{2} \times x - x^{2} r_{3} - x r_{2} x - (- x r_{2} r_{3}) - r x \times x - (- r x r_{3}) + r r_{2} x - r r_{2} r_{3}

Multiply the terms

More Steps

x^{3} - x^{2} r_{3} - x r_{2} x - (- x r_{2} r_{3}) - r x \times x - (- r x r_{3}) + r r_{2} x - r r_{2} r_{3}

Multiply the terms

x^{3} - x^{2} r_{3} - x^{2} r_{2} - (- x r_{2} r_{3}) - r x \times x - (- r x r_{3}) + r r_{2} x - r r_{2} r_{3}

Multiply the terms

x^{3} - x^{2} r_{3} - x^{2} r_{2} - (- x r_{2} r_{3}) - r x^{2} - (- r x r_{3}) + r r_{2} x - r r_{2} r_{3}

Solution

x^{3} - x^{2} r_{3} - x^{2} r_{2} + x r_{2} r_{3} - r x^{2} + r x r_{3} + r r_{2} x - r r_{2} r_{3}

Simplify the expression