Solve 44(x^4-5x^3-24x^2)div22x(x-8)

$$44( { x }^{ 4 } -5 { x }^{ 3 } -24 { x }^{ 2 } ) \div 22x(x-8)$$

Evaluate

$$2\left(x+3\right)\left(x-8\right)^{2}x^{3}$$

Solution Steps

Use the distributive property to multiply 44 by x^{4}-5x^{3}-24x^{2}.

$$\frac{44x^{4}-220x^{3}-1056x^{2}}{22}x\left(x-8\right)$$

Express \frac{44x^{4}-220x^{3}-1056x^{2}}{22}x as a single fraction.

$$\frac{\left(44x^{4}-220x^{3}-1056x^{2}\right)x}{22}\left(x-8\right)$$

Express \frac{\left(44x^{4}-220x^{3}-1056x^{2}\right)x}{22}\left(x-8\right) as a single fraction.

$$\frac{\left(44x^{4}-220x^{3}-1056x^{2}\right)x\left(x-8\right)}{22}$$

Use the distributive property to multiply 44x^{4}-220x^{3}-1056x^{2} by x.

$$\frac{\left(44x^{5}-220x^{4}-1056x^{3}\right)\left(x-8\right)}{22}$$

Use the distributive property to multiply 44x^{5}-220x^{4}-1056x^{3} by x-8 and combine like terms.

$$\frac{44x^{6}-572x^{5}+704x^{4}+8448x^{3}}{22}$$

Expand

$$2x^{6}-26x^{5}+32x^{4}+384x^{3}$$

Solution Steps

Use the distributive property to multiply 44 by x^{4}-5x^{3}-24x^{2}.

$$\frac{44x^{4}-220x^{3}-1056x^{2}}{22}x\left(x-8\right)$$

Express \frac{44x^{4}-220x^{3}-1056x^{2}}{22}x as a single fraction.

$$\frac{\left(44x^{4}-220x^{3}-1056x^{2}\right)x}{22}\left(x-8\right)$$

Express \frac{\left(44x^{4}-220x^{3}-1056x^{2}\right)x}{22}\left(x-8\right) as a single fraction.

$$\frac{\left(44x^{4}-220x^{3}-1056x^{2}\right)x\left(x-8\right)}{22}$$

Use the distributive property to multiply 44x^{4}-220x^{3}-1056x^{2} by x.

$$\frac{\left(44x^{5}-220x^{4}-1056x^{3}\right)\left(x-8\right)}{22}$$

Use the distributive property to multiply 44x^{5}-220x^{4}-1056x^{3} by x-8 and combine like terms.

$$\frac{44x^{6}-572x^{5}+704x^{4}+8448x^{3}}{22}$$