Solve 0,1(x^2-1)(x-3)(x+4)

$$0,1 ( x ^ { 2 } - 1 ) ( x - 3 ) ( x + 4 )$$

Evaluate

$$\frac{\left(x-3\right)\left(x+4\right)\left(x^{2}-1\right)}{10}$$

Solution Steps

Use the distributive property to multiply 0,1 by x^{2}-1.

$$\left(0,1x^{2}-0,1\right)\left(x-3\right)\left(x+4\right)$$

Use the distributive property to multiply 0,1x^{2}-0,1 by x-3.

$$\left(0,1x^{3}-0,3x^{2}-0,1x+0,3\right)\left(x+4\right)$$

Use the distributive property to multiply 0,1x^{3}-0,3x^{2}-0,1x+0,3 by x+4 and combine like terms.

$$0,1x^{4}+0,1x^{3}-1,3x^{2}-0,1x+1,2$$

Expand

$$\frac{x^{4}}{10}+\frac{x^{3}}{10}-\frac{13x^{2}}{10}-\frac{x}{10}+1,2$$

Solution Steps

Use the distributive property to multiply 0,1 by x^{2}-1.

$$\left(0,1x^{2}-0,1\right)\left(x-3\right)\left(x+4\right)$$

Use the distributive property to multiply 0,1x^{2}-0,1 by x-3.

$$\left(0,1x^{3}-0,3x^{2}-0,1x+0,3\right)\left(x+4\right)$$

Use the distributive property to multiply 0,1x^{3}-0,3x^{2}-0,1x+0,3 by x+4 and combine like terms.

$$0,1x^{4}+0,1x^{3}-1,3x^{2}-0,1x+1,2$$