Which expression does not factor?

m3 + 1
m3 – 1

m2 + 1

m2 – 1

Explanation:

All the other expressions can be factorized. Let's see why:

1)

This is the sum of the cubes, and this can be factorized as follows:

In this case, a=m and b=1, so we can factorize as

2)

This is the difference between two cubes, and this can be factorized as follows:

In this case, a=m and b=1, so we can factorize as

3)

This is the difference between two square numbers, and it can be factorized as follows

In this case, a=m and b=1, so we can factorize as

Option C. is the right option

Step-by-step explanation:

In this question we will take each option and try to factorize them.

Option A.

(m³ + 1) = (m + 1)(m² + 1² - 1.m) = (m + 1).(m² - m + 1)

[ since (a³ + b³) = (a + b).(a² + b² - ab)]

So can be factored.

Option B.

(m³ - 1) = (m - 1).(m² + m + 1)

[ since a3 + b³= (m - 1)(m² + m + 1)

So expression can be factored.

Option C.

(m² + 1) This expression is in the factored form.

Option D.

(m² - 1) = (m + 1)(m - 1)

[(a² - b²) = (a - b)(a + b)]

So expression can be factored.

Finally the answer is Option C.

i believe the correct answer is option 4.principalities were small territories that were run by russian rulers.

which statement correctly defines principalities in northern asia in the 1200s? principalities were small territories that were run by russian rulers.

hope i could ! : )

0.32

step-by-step explanation:

2.24/7