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

The solution to expand (x+2)(x^2+2x+3) is x^3+4x^2+7x+6

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

expand

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

x^{3} + 4 x^{2} + 7 x + 6

Solution steps

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

Distribute parentheses

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

Simplify

x x^{2} + x \cdot 2 x + x \cdot 3 + 2 x^{2} + 2 \cdot 2 x + 2 \cdot 3 : x^{3} + 4 x^{2} + 7 x + 6

= x^{3} + 4 x^{2} + 7 x + 6

\frac{8}{6 + 2}

25 b^{3} - 35 b^{2} + 5 b - 7

\frac{3 x - 1}{1 - 3 x}

lo g_{2} (12) + 3 lo g_{2} (3) - lo g_{2} (9)

75 b^{3}

What is expand (x+2)(x^2+2x+3) ?
The solution to expand (x+2)(x^2+2x+3) is x^3+4x^2+7x+6