Solve (19)x(x-1)(x-2)

$$( 19 ) x ( x - 1 ) ( x - 2 )$$

Evaluate

$$19x\left(x-2\right)\left(x-1\right)$$

Solution Steps

Use the distributive property to multiply 19x by x-1.

$$\left(19x^{2}-19x\right)\left(x-2\right)$$

Apply the distributive property by multiplying each term of 19x^{2}-19x by each term of x-2.

$$19x^{3}-38x^{2}-19x^{2}+38x$$

Combine -38x^{2} and -19x^{2} to get -57x^{2}.

$$19x^{3}-57x^{2}+38x$$

Expand

$$19x^{3}-57x^{2}+38x$$

Solution Steps

Use the distributive property to multiply 19x by x-1.

$$\left(19x^{2}-19x\right)\left(x-2\right)$$

Apply the distributive property by multiplying each term of 19x^{2}-19x by each term of x-2.

$$19x^{3}-38x^{2}-19x^{2}+38x$$

Combine -38x^{2} and -19x^{2} to get -57x^{2}.

$$19x^{3}-57x^{2}+38x$$