Solve (4x^-4)(x^2-5x+6)

$$( 4 x ^ { - 4 } ) ( x ^ { 2 } - 5 x + 6 )$$

Evaluate

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

Solution Steps

Use the distributive property to multiply 4x^{-4} by x^{2}-5x+6.

$$4x^{-4}x^{2}-20x^{-3}+24x^{-4}$$

To multiply powers of the same base, add their exponents. Add -4 and 2 to get -2.

$$4x^{-2}-20x^{-3}+24x^{-4}$$

Expand

$$\frac{4\left(x^{2}-5x+6\right)}{x^{4}}$$

Solution Steps

Use the distributive property to multiply 4x^{-4} by x^{2}-5x+6.

$$4x^{-4}x^{2}-20x^{-3}+24x^{-4}$$

To multiply powers of the same base, add their exponents. Add -4 and 2 to get -2.

$$4x^{-2}-20x^{-3}+24x^{-4}$$