SOLUTION: 1). Multiply as indicated below. (x-1)(x^2+x+1) 2). Find (a) the GCF and (b) the LCM of the following monomials 28,35 and 42 9x^2y and 36xy^3 Assuming that

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: 1). Multiply as indicated below. (x-1)(x^2+x+1) 2). Find (a) the GCF and (b) the LCM of the following monomials 28,35 and 42 9x^2y and 36xy^3 Assuming that      Log On


   



Question 719954: 1). Multiply as indicated below.
(x-1)(x^2+x+1)
2). Find (a) the GCF and (b) the LCM of the following monomials
28,35 and 42
9x^2y and 36xy^3
Assuming that none of the solutions are undefined, simplify each of the
following.
3). a^2b^2c
_______
abc


Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
1). Multiply as indicated below.
(x-1)(x^2+x+1)
= x(x^2+x+1) - (x^2+x+1)
---
= x^3+x^2+x -x^2-x-1
---
= x^3 -1
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2). Find
(a) the GCF of 28,35,42 is 7
--------
(b) the LCM of the following monomials
28 = 7*2^2
35 = 7*5
42 = 7*2*3
LCM = 7*2^2*3*5 = 28*15 = 420
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9x^2y and 36xy^3
GCD = 9xy
LCM = 36x^2y^3
--------------------
Assuming that none of the solutions are undefined, simplify each of the
following.
3). (a^2b^2c) / (abc) = ab
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Cheers,
Stan H.
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