Question

C^6-m^6 разложить на множители​

Answer 1

c⁶-m⁶=(с²-m²)(c⁴+c²m²+m⁴)=(c+m)(c-m)(c⁴+c²m²+m⁴)

Answer 2

To factorize the expression C^6 - m^6, we can use the difference of squares formula, which states that a^2 - b^2 = (a + b)(a - b). In this case, we have a = C^2 and b = m^2. Therefore:

C^6 - m^6 = (C^2)^2 - (m^2)^2

Now, we can apply the difference of squares formula:

C^6 - m^6 = (C^2 + m^2)(C^2 - m^2)

However, this expression can be further factorized. Notice that (C^2 - m^2) is again in the form of a difference of squares, with a = C and b = m. So, we can factor it as follows:

C^6 - m^6 = (C^2 + m^2)(C^2 - m^2) = (C^2 + m^2)(C + m)(C - m)

So, the fully factored form of C^6 - m^6 is (C^2 + m^2)(C + m)(C - m).