Answer:
Result :
3 • (2x + 1) • (x + 1) • (3x + 5)
Explanation:
Reformatting the input :
Changes made to your input should not affect the solution:
(1): "x2" was replaced by "x^2".
STEP1
Equation at the end of step 1
(6x + 3) • ((3x2 + 8x) + 5)
STEP2
STEP3
Pulling out like terms
3.1 Pull out like factors :
6x + 3 = 3 • (2x + 1)
Trying to factor by splitting the middle term
3.2 Factoring 3x2 + 8x + 5
The first term is, 3x2 its coefficient is 3 .
The middle term is, +8x its coefficient is 8 .
The last term, "the constant", is +5
Step-1 : Multiply the coefficient of the first term by the constant 3 • 5 = 15
Step-2 : Find two factors of 15 whose sum equals the coefficient of the middle term, which is 8 .
-15 + -1 = -16
-5 + -3 = -8
-3 + -5 = -8
-1 + -15 = -16
1 + 15 = 16
3 + 5 = 8 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, 3 and 5
3x2 + 3x + 5x + 5
Step-4 : Add up the first 2 terms, pulling out like factors :
3x • (x+1)
Add up the last 2 terms, pulling out common factors :
5 • (x+1)
Step-5 : Add up the four terms of step 4 :
(3x+5) • (x+1)
Which is the desired factorization
sorry if its too much...