1. What is the degree of hte monomial 15x^3y^9?
A) 12
B) 3
C) 9
D) 15
2. What is the difference?
10c^3 - 8c^3
A) 18c^3
B) 2c^3
C) 3c^6
D) -80c^6
3. What is the sum?
16x^3 + 9x^3
25x^6
25x^3
7x^3
24x^6
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Vocaloid (vocaloid):
lets start with #1
add the exponents together
OpenStudy (anonymous):
@Vocaloid 12
Vocaloid (vocaloid):
good, so thats the degree
Vocaloid (vocaloid):
ready for #2?
OpenStudy (anonymous):
Yes
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Vocaloid (vocaloid):
ok, this is just combining like terms
if 10 - 8 = 2, then what is 10c^3 - 8c^3 = ?
OpenStudy (anonymous):
@Vocaloid 2c^3
Vocaloid (vocaloid):
good!
Vocaloid (vocaloid):
ready for the next one?
OpenStudy (anonymous):
Yes
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Vocaloid (vocaloid):
16 + 9 = 25
16x^3 + 9x^3 = ?
(the exponent stays the same)
OpenStudy (anonymous):
@Vocaloid 25x^6
Vocaloid (vocaloid):
nope, remember what I said, the exponent stays the same
OpenStudy (anonymous):
Oh okay. Could you help me with a few more?
Vocaloid (vocaloid):
sure
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OpenStudy (anonymous):
4. Find the difference.
(9a^4 + 2a^2 + 5) - (16a^4 - 7a^2 + 1)
A) 25a^4 - 5a^2 - 4
B) -7a^4 - 5a^2 + 6
C) 25a^8 + 9a^4 + 6
D) -7a^4 + 9a^2 + 4
Vocaloid (vocaloid):
start by combining like terms
9a^4-16a^4 = ?
OpenStudy (anonymous):
9a^6 ?
Vocaloid (vocaloid):
nope
Vocaloid (vocaloid):
9-16 = ?
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OpenStudy (anonymous):
7
Vocaloid (vocaloid):
nope
OpenStudy (anonymous):
16-9 =7
Vocaloid (vocaloid):
right, but I asked 9-16, not 16-9
OpenStudy (anonymous):
9-16= -7
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Vocaloid (vocaloid):
good!
so, any ideas on what 9a^4 - 16a^4?
(remember, when we add/subtract terms with exponents, the exponents don't change)
Vocaloid (vocaloid):
still there?
OpenStudy (anonymous):
@Vocaloid Hey, sorry I'm back now
Vocaloid (vocaloid):
good, so 9a^4 - 16a^4 = ?
OpenStudy (anonymous):
@Vocaloid -7a^4
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