Factorise. 36x sq + 36x + 8
Answers
Step-by-step explanation:
Factoring 9x2 - 9x + 2
The first term is, 9x2 its coefficient is 9 .
The middle term is, -9x its coefficient is -9 .
The last term, "the constant", is +2
Step-1 : Multiply the coefficient of the first term by the constant 9 • 2 = 18
Step-2 : Find two factors of 18 whose sum equals the coefficient of the middle term, which is -9 .
-18 + -1 = -19
-9 + -2 = -11
-6 + -3 = -9 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -6 and -3
9x2 - 6x - 3x - 2
Step-4 : Add up the first 2 terms, pulling out like factors :
3x • (3x-2)
Add up the last 2 terms, pulling out common factors :
1 • (3x-2)
Step-5 : Add up the four terms of step 4 :
(3x-1) • (3x-2)
Which is the desired factorization
Equation at the end of step 3 :
-4 • (3x - 2) • (3x - 1) = 0
Answer:
See this.
Step-by-step explanation:
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