Question

factorization completely

x(x + 1) * (x + 2) * (x + 3) - 24​

Answer 1

Answer:

STEP 1 :

x + 3

Simplify —————

x

Equation at the end of step 1 :

(x+3)

(((x•(x+1))•(x+2))•—————)•(x+1)

x

STEP

2

:

Equation at the end of step 2

(x+3)

((x•(x+1)•(x+2))•—————)•(x+1)

x

STEP

3

:

Equation at the end of step 3

(x+3)

(x•(x+1)•(x+2)•—————)•(x+1)

x

STEP

4

:

Equation at the end of step 4

(x + 1) • (x + 2) • (x + 3) • (x + 1)

STEP

5

:

Multiplying Exponential Expressions:

5.1 Multiply (x+1) by (x+1)

The rule says : To multiply exponential expressions which have the same base, add up their exponents.

In our case, the common base is (x+1) and the exponents are :

1 , as (x+1) is the same number as (x+1)1

and 1 , as (x+1) is the same number as (x+1)1

The product is therefore, (x+1)(1+1) = (x+1)2

Final result :

(x + 1)2 • (x + 2) • (x + 3)