Question

Возвести в куб сумму 3x+1

Answer 1

${(3x + 1 )}^{3} = \\ = 27 {x}^{3} + 27 {x}^{2} + 9x + 1$
это по формуле куб суммы

Answer 2

To raise the sum of 3x+1 to the cube, you would use the following mathematical expression:

(3x + 1)^3

To expand this expression, you can use the binomial expansion formula or apply the distributive property three times. The binomial expansion formula for (a + b)^3 is:

(a + b)^3 = a^3 + 3a^2b + 3ab^2 + b^3

In our case, a is 3x, and b is 1. So, applying the formula:

(3x + 1)^3 = (3x)^3 + 3(3x)^2(1) + 3(3x)(1)^2 + 1^3 = 27x^3 + 3(9x^2) + 3(3x) + 1 = 27x^3 + 27x^2 + 9x + 1

So, the cube of the sum 3x+1 is 27x^3 + 27x^2 + 9x + 1.