anonymous
  • anonymous
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
Mathematics
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anonymous
  • anonymous
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
Mathematics
schrodinger
  • schrodinger
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Vocaloid
  • Vocaloid
lets start with #1 add the exponents together
anonymous
  • anonymous
Vocaloid
  • Vocaloid
good, so thats the degree

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Vocaloid
  • Vocaloid
ready for #2?
anonymous
  • anonymous
Yes
Vocaloid
  • Vocaloid
ok, this is just combining like terms if 10 - 8 = 2, then what is 10c^3 - 8c^3 = ?
anonymous
  • anonymous
Vocaloid
  • Vocaloid
good!
Vocaloid
  • Vocaloid
ready for the next one?
anonymous
  • anonymous
Yes
Vocaloid
  • Vocaloid
16 + 9 = 25 16x^3 + 9x^3 = ? (the exponent stays the same)
anonymous
  • anonymous
@Vocaloid 25x^6
Vocaloid
  • Vocaloid
nope, remember what I said, the exponent stays the same
anonymous
  • anonymous
Oh okay. Could you help me with a few more?
Vocaloid
  • Vocaloid
sure
anonymous
  • 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 = ?
anonymous
  • anonymous
9a^6 ?
Vocaloid
  • Vocaloid
nope
Vocaloid
  • Vocaloid
9-16 = ?
anonymous
  • anonymous
7
Vocaloid
  • Vocaloid
nope
anonymous
  • anonymous
16-9 =7
Vocaloid
  • Vocaloid
right, but I asked 9-16, not 16-9
anonymous
  • anonymous
9-16= -7
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?
anonymous
  • anonymous
@Vocaloid Hey, sorry I'm back now
Vocaloid
  • Vocaloid
good, so 9a^4 - 16a^4 = ?
anonymous
  • anonymous
@Vocaloid -7a^4
Vocaloid
  • Vocaloid
good, now work on the a^2 term 2a^2 + 7a^2 = ?
anonymous
  • anonymous
-7a^-4 + 9a^2 + 4
Vocaloid
  • Vocaloid
good!!

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