Question

Factorize 27x^3 + 27x^2 + 9x +1

Answer 1

Step-by-step explanation:

Step by step solution :

STEP

1

:

Equation at the end of step 1

(((27 • (x3)) + 33x2) + 9x) + 1 = 0

STEP

2

:

Equation at the end of step

2

:

((33x3 + 33x2) + 9x) + 1 = 0

STEP

3

:

Checking for a perfect cube

3.1 Factoring: 27x3+27x2+9x+1

.

27x3+27x2+9x+1 is a perfect cube which means it is the cube of another polynomial

In our case, the cubic root of 27x3+27x2+9x+1 is 3x+1

Factorization is (3x+1)3

Equation at the end of step

3

:

(3x + 1)3 = 0

STEP

4

:

Solving a Single Variable Equation

4.1 Solve : (3x+1)3 = 0

(3x+1) 3 represents, in effect, a product of 3 terms which is equal to zero

For the product to be zero, at least one of these terms must be zero. Since all these terms are equal to each other, it actually means : 3x+1 = 0

Subtract 1 from both sides of the equation :

3x = -1

Divide both sides of the equation by 3:

x = -1/3 = -0.333

Answer 2

Answer:

Sorry I can't answer the question