What is expand (3x+4)(x^2+2x+3) ?

The solution to expand (3x+4)(x^2+2x+3) is 3x^3+10x^2+17x+12

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expand (3x+4)(x^2+2x+3)

expand

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

3 x^{3} + 10 x^{2} + 17 x + 12

Solution steps

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

Distribute parentheses

= 3 x x^{2} + 3 x \cdot 2 x + 3 x \cdot 3 + 4 x^{2} + 4 \cdot 2 x + 4 \cdot 3

Simplify

3 x x^{2} + 3 x \cdot 2 x + 3 x \cdot 3 + 4 x^{2} + 4 \cdot 2 x + 4 \cdot 3 : 3 x^{3} + 10 x^{2} + 17 x + 12

= 3 x^{3} + 10 x^{2} + 17 x + 12

\frac{16 x ^{6} y ^{5} z - 12 x ^{4} y ^{6} z ^{2} + 6 x ^{3} y ^{9}}{- 4 x ^{2} y}

4 x^{2} + 9 y^{2} - 12 x y

(x - 1) \cdot (x - 2)

\frac{72}{180}

What is expand (3x+4)(x^2+2x+3) ?
The solution to expand (3x+4)(x^2+2x+3) is 3x^3+10x^2+17x+12