Questions: (ε+qz) z^(9+v) (0I+v)(0I+v)

(ε+qz) z^(9+v) (0I+v)(0I+v)
Transcript text: \[ (\varepsilon+q z) \] \[ z^{(9+v)} \] \[ (0 \mathrm{I}+v)(0 \mathrm{I}+v) \]
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Solution

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Solution Steps

Step 1: Identify the given expressions

The given expressions are:

  1. \( a^2 + 12a + 36 \)
  2. \( a^2 + 20a + 100 \)
  3. \( a^2 + 14a + 49 \)
Step 2: Factorize each expression
  1. \( a^2 + 12a + 36 \) can be factorized as \( (a + 6)^2 \)
  2. \( a^2 + 20a + 100 \) can be factorized as \( (a + 10)^2 \)
  3. \( a^2 + 14a + 49 \) can be factorized as \( (a + 7)^2 \)
Step 3: Match the factorized forms with the given options
  1. \( (a + 6)^2 \) matches with \( (a + 6)^2 \)
  2. \( (a + 10)^2 \) matches with \( (a + 10)^2 \)
  3. \( (a + 7)^2 \) matches with \( (a + 7)^2 \)

Final Answer

  1. \( a^2 + 12a + 36 \) matches with \( (a + 6)^2 \)
  2. \( a^2 + 20a + 100 \) matches with \( (a + 10)^2 \)
  3. \( a^2 + 14a + 49 \) matches with \( (a + 7)^2 \)
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