Mathematics
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OpenStudy (anonymous):
Hey guys i need some help with a few questions please!
1)Find the degree of the monomial 6p3q2
2)Simplify (7t2 + 9) + (6t2 + 8).
3)Simplify (2z – 3)2
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jimthompson5910 (jim_thompson5910):
the exponents on 6p^3q^2 are 3 and 2. Add them to get 3+2 = 5
So the degree of 6p^3q^2 is 5
OpenStudy (anonymous):
thanks
jimthompson5910 (jim_thompson5910):
for #2
remove the parenthesis and combine like terms
jimthompson5910 (jim_thompson5910):
one pair of like terms is
7t^2 and 6t^2 and they add to 13t^2
OpenStudy (anonymous):
For number 2 these are the possible answers
a) t2 + 1
b) 13t2 + 17
c) 13t4 +17
d) 42t2 + 72
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jimthompson5910 (jim_thompson5910):
do you see how 6t^2 + 7t^2 = 13t^2 ?
OpenStudy (anonymous):
yes
OpenStudy (anonymous):
you add the like terms right?
jimthompson5910 (jim_thompson5910):
exactly
jimthompson5910 (jim_thompson5910):
the other pair of like terms are 9 and 8
they add to 9+8 = 17
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OpenStudy (anonymous):
thank you
jimthompson5910 (jim_thompson5910):
for the last one, you would use the FOIL rule since
(2z – 3)^2 = (2z – 3)(2z – 3)
OpenStudy (anonymous):
alright
OpenStudy (anonymous):
4z2 – 9
4z2 – 9z
4z2 – 12z – 9
4z2 – 12z + 9
are the possible answers
jimthompson5910 (jim_thompson5910):
using the FOIL rule, what do you get
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OpenStudy (anonymous):
nothing
jimthompson5910 (jim_thompson5910):
not quite
jimthompson5910 (jim_thompson5910):
(2z – 3)(2z – 3) = 2z(2z – 3) - 3(2z – 3)
Now use the distributive property to distribute out 2z(2z – 3) - 3(2z – 3)
OpenStudy (anonymous):
ok
jimthompson5910 (jim_thompson5910):
the answer is NOT choice A
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jimthompson5910 (jim_thompson5910):
2z(2z – 3) - 3(2z – 3)
4z^2 - 6z - 6z + 9
???