What is factor k^{r+m}-4k^r+k^m-4 ?

The solution to factor k^{r+m}-4k^r+k^m-4 is (k^m-4)(k^r+1)

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factor k^{r+m}-4k^r+k^m-4

factor

k^{r + m} - 4 k^{r} + k^{m} - 4

(k^{m} - 4) (k^{r} + 1)

Solution steps

k^{r + m} - 4 k^{r} + k^{m} - 4

Apply exponent rule:

a^{b + c} = a^{b} a^{c}

= k^{m} k^{r} - 4 k^{r} + k^{m} - 4

Factor out common term

k^{r}

= k^{r} (k^{m} - 4) + k^{m} - 4

Rewrite as

= (k^{m} - 4) k^{r} + 1 \cdot (k^{m} - 4)

Factor out common term

(k^{m} - 4)

= (k^{m} - 4) (k^{r} + 1)

7.6

2 x (3 x^{3} - x^{3})

m^{2} + 2 m + (- 1)

4^{2} \cdot 4 \cdot 4^{7}

2 e^{2} + 2

What is factor k^{r+m}-4k^r+k^m-4 ?
The solution to factor k^{r+m}-4k^r+k^m-4 is (k^m-4)(k^r+1)