Question

(1/x-4)(1/x-4)(1/x-4)

can you show me the work please. I looked up the answer online the answer is 1/(x-4)^3 but why is it that? like idk the steps for it

Answer 1

you are multiplying 3 algebraic fractions together

`(1)/(x-4)` ×
`(1)/(x-4)` x
`(1)/(x-4)`

multiply the numerators together, that is 1 × 1 × 1 = 1

multiply the denominators together, that is

(x - 4 ) × (x - 4 ) × (x - 4 ) = (x - 4)³

thus the product of the multiplication is

`(1)/((x-4)^(3) )`

Answer 2

the answer is 1/(x-4)^3 because if you see in the equation they gave the same x-4 variable. As three of the same variable are being multiplied it adds the ^3 to the x-4. As (x-4) is all being divided by 1 it creates the solution 1/(x-4)^3. I hope this helps.