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

The solution to expand (x-3)(x^2+2x+7) is x^3-x^2+x-21

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

expand

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

x^{3} - x^{2} + x - 21

Solution steps

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

Distribute parentheses

= x x^{2} + x \cdot 2 x + x \cdot 7 - 3 x^{2} - 3 \cdot 2 x - 3 \cdot 7

Simplify

x x^{2} + x \cdot 2 x + x \cdot 7 - 3 x^{2} - 3 \cdot 2 x - 3 \cdot 7 : x^{3} - x^{2} + x - 21

= x^{3} - x^{2} + x - 21

(3 x^{3} + 3 x^{2} - 4 x + 5) + (x^{3} - 2 x^{2} + x - 4)

(1 0^{3})^{2}

- lo g_{10} (0.03)

- 1 + \frac{5}{2}

(2 x + 3) (x - 5)

What is expand (x-3)(x^2+2x+7) ?
The solution to expand (x-3)(x^2+2x+7) is x^3-x^2+x-21