Solve (x-1)(x-3)(x^2-4x)

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

Evaluate

$$x\left(x-4\right)\left(x-3\right)\left(x-1\right)$$

Solution Steps

Use the distributive property to multiply x-1 by x-3 and combine like terms.

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

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

$$x^{4}-8x^{3}+19x^{2}-12x$$

Expand

$$x^{4}-8x^{3}+19x^{2}-12x$$

Solution Steps

Use the distributive property to multiply x-1 by x-3 and combine like terms.

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

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

$$x^{4}-8x^{3}+19x^{2}-12x$$