Solve 28(x+3)(x^2+3x+7)div7(x+3)

$$28(x+3)( { x }^{ 2 } +3x+7) \div 7(x+3)$$

Evaluate

$$4\left(x+3\right)^{2}\left(x^{2}+3x+7\right)$$

Solution Steps

Use the distributive property to multiply 28 by x+3.

$$\frac{\left(28x+84\right)\left(x^{2}+3x+7\right)}{7}\left(x+3\right)$$

Use the distributive property to multiply 28x+84 by x^{2}+3x+7 and combine like terms.

$$\frac{28x^{3}+168x^{2}+448x+588}{7}\left(x+3\right)$$

Express \frac{28x^{3}+168x^{2}+448x+588}{7}\left(x+3\right) as a single fraction.

$$\frac{\left(28x^{3}+168x^{2}+448x+588\right)\left(x+3\right)}{7}$$

Use the distributive property to multiply 28x^{3}+168x^{2}+448x+588 by x+3 and combine like terms.

$$\frac{28x^{4}+252x^{3}+952x^{2}+1932x+1764}{7}$$

Expand

$$4x^{4}+36x^{3}+136x^{2}+276x+252$$

Solution Steps

Use the distributive property to multiply 28 by x+3.

$$\frac{\left(28x+84\right)\left(x^{2}+3x+7\right)}{7}\left(x+3\right)$$

Use the distributive property to multiply 28x+84 by x^{2}+3x+7 and combine like terms.

$$\frac{28x^{3}+168x^{2}+448x+588}{7}\left(x+3\right)$$

Express \frac{28x^{3}+168x^{2}+448x+588}{7}\left(x+3\right) as a single fraction.

$$\frac{\left(28x^{3}+168x^{2}+448x+588\right)\left(x+3\right)}{7}$$

Use the distributive property to multiply 28x^{3}+168x^{2}+448x+588 by x+3 and combine like terms.

$$\frac{28x^{4}+252x^{3}+952x^{2}+1932x+1764}{7}$$