What is expand (x-3)(x^2-7x-2) ?

The solution to expand (x-3)(x^2-7x-2) is x^3-10x^2+19x+6

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expand (x-3)(x^2-7x-2)

expand

(x - 3) (x^{2} - 7 x - 2)

x^{3} - 10 x^{2} + 19 x + 6

Solution steps

(x - 3) (x^{2} - 7 x - 2)

Distribute parentheses

= x x^{2} + x (- 7 x) + x (- 2) - 3 x^{2} - 3 (- 7 x) - 3 (- 2)

Simplify

x x^{2} + x (- 7 x) + x (- 2) - 3 x^{2} - 3 (- 7 x) - 3 (- 2) : x^{3} - 10 x^{2} + 19 x + 6

= x^{3} - 10 x^{2} + 19 x + 6

(- x^{2} - 1) - (- 2 x^{2} - 4)

\frac{\frac{15 x ^{2}}{45 x ^{3}}}{\frac{5 x ^{6}}{9 x ^{4}}}

4 x \cdot 2 x

\frac{x ^{4} - 16}{x - 2}

(3 t^{2} - 5 t + 6) + (- 8 t^{2} + 7 t - 9)

What is expand (x-3)(x^2-7x-2) ?
The solution to expand (x-3)(x^2-7x-2) is x^3-10x^2+19x+6