factorize the following by using suitable identities p2- 18p+81
Answers
Answer:
1.1 Factoring p2-18p+81
The first term is, p2 its coefficient is 1 .
The middle term is, -18p its coefficient is -18 .
The last term, "the constant", is +81
Step-1 : Multiply the coefficient of the first term by the constant 1 • 81 = 81
Step-2 : Find two factors of 81 whose sum equals the coefficient of the middle term, which is -18 .
-81 + -1 = -82
-27 + -3 = -30
-9 + -9 = -18 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -9 and -9
p2 - 9p - 9p - 81
Step-4 : Add up the first 2 terms, pulling out like factors :
p • (p-9)
Add up the last 2 terms, pulling out common factors :
9 • (p-9)
Step-5 : Add up the four terms of step 4 :
(p-9) • (p-9)
Which is the desired factorization
Step-by-step explanation:
Step-by-step explanation:
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