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Scrat [10]
3 years ago
10

Factor the expression 12x^2+x-6.

Mathematics
1 answer:
IrinaK [193]3 years ago
8 0

Answer:

(4x + 3)(3x - 2)

Step-by-step explanation:

12 {x}^{2}  + x - 6 \\  = 12 {x}^{2}  + 9x - 8x - 6  \\  = 3x(4x  +  3) - 2(4x  + 3) \\  = (4x + 3)(3x - 2) \\ are \: the \: required \: factors.

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3 years ago
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maks197457 [2]

Answer:

  1. (x-y^2)(x^2 +xy^2 +y^4)
  2. (a^2 +b)(a^4 -a^2b +b^2)
  3. (m^3-n)(m^6 +m^3n +n^2)
  4. (p+k^3)(p^2 -pk^3 +k^6)
  5. (a^2+b^3)(a^4 -a^2b^3 +b^6)
  6. (x-y)(x^2 +xy +y^2)(x^6 +x^3y^3 +y^6)

Step-by-step explanation:

In every case, the factorization makes use of the standard form for factoring the sum or difference of cubes:

  • a^3 +b^3 = (a +b)(a^2 -ab +b^2)
  • a^3 -b^3 = (a -b)(a^2 +ab +b^2)

1. a=x, b=y^2. Use the formula for the difference.

2. a^2 ⇒ a, b = b. Use the formula for the sum.

3. a=m^3, b=n. Use the formula for the difference.

4. a=p b=k^3. Use the formula for the sum.

5. a^2 ⇒ a, b^3 ⇒ b. Use the formula for the sum.

6. a=x^3, b=y^3. Use the formula for the difference. When you do, the first factor is the difference x^3 -y^3, which can be factored using the difference formula again with a=x, b=y.

4 0
4 years ago
A new website received 1700 hits within 10 hours of going live what is the maximum number of hits it might receive in 24 hours i
lawyer [7]

Answer:

4080 hits.

Step-by-step explanation:

By proportion that would be 1700 * 24/10

= 4080.

5 0
2 years ago
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