Answer:
-9 • (x + 2) • (x - 1)2
Step-by-step explanation:
(-3x-6)(3x2-6x+3)
Final result :
-9 • (x + 2) • (x - 1)2
Reformatting the input :
Changes made to your input should not affect the solution:
(1): "x2" was replaced by "x^2".
Step by step solution :
Step 1 :
Equation at the end of step 1 :
(-3x - 6) • ((3x2 - 6x) + 3)
Step 2 :
Step 3 :
Pulling out like terms :
3.1 Pull out like factors :
-3x - 6 = -3 • (x + 2)
Step 4 :
Pulling out like terms :
4.1 Pull out like factors :
(3x2 - 6x + 3) = 3 • (x2 - 2x + 1)
Trying to factor by splitting the middle term
4.2 Factoring x2 - 2x + 1
The first term is, x2 its coefficient is 1 .
The middle term is, -2x its coefficient is -2 .
The last term, "the constant", is +1
Step-1 : Multiply the coefficient of the first term by the constant 1 • 1 = 1
Step-2 : Find two factors of 1 whose sum equals the coefficient of the middle term, which is -2 .
-1 + -1 = -2 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -1 and -1
x2 - 1x - 1x - 1
Step-4 : Add up the first 2 terms, pulling out like factors :
x • (x-1)
Add up the last 2 terms, pulling out common factors :
1 • (x-1)
Step-5 : Add up the four terms of step 4 :
(x-1) • (x-1)
Which is the desired factorization
Multiplying Exponential Expressions :
4.3 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 :
-9 • (x + 2) • (x - 1)2