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Exercise

$\frac{\left(\left(x-6\right)^5+\left(x-8\right)^6\right)}{\left(x-6\right)\left(x-8\right)}$

Step-by-step Solution

1

Multiply the single term $x-8$ by each term of the polynomial $\left(x-6\right)$

$x\left(x-8\right)-6\left(x-8\right)$
2

Solve the product $x\left(x-8\right)$

$x^2-8x-6\left(x-8\right)$
3

Multiplying polynomials $-6$ and $x-8$

$x^2-8x-6x+48$
4

Combining like terms $-8x$ and $-6x$

$x^2-14x+48$

Final answer to the exercise

$x^2-14x+48$

Try other ways to solve this exercise

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Main Topic: Polynomial long division

In algebra, polynomial long division is an algorithm for dividing a polynomial by another polynomial of the same or lower degree, a generalised version of the familiar arithmetic technique called long division.

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