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

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

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

expand

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

x^{3} + x^{2} + x + 6

Solution steps

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

Distribute parentheses

= x x^{2} + x (- x) + x \cdot 3 + 2 x^{2} + 2 (- x) + 2 \cdot 3

Simplify

x x^{2} + x (- x) + x \cdot 3 + 2 x^{2} + 2 (- x) + 2 \cdot 3 : x^{3} + x^{2} + x + 6

= x^{3} + x^{2} + x + 6

(- 6 x + 2 y - 3 z) - (- 7 x + 3 y + 3 z)

\frac{1}{6} - \frac{3}{4}

3 (- 7)

3 x^{3} + 2 x^{2} + 48 x + 32

\frac{42}{56}

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