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Find the square. Simplify your answer.\newline(c3)2(c - 3)^2

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Q. Find the square. Simplify your answer.\newline(c3)2(c - 3)^2
  1. Use Formula: To square the binomial (c3)(c - 3), we will use the formula (ab)2=a22ab+b2(a - b)^2 = a^2 - 2ab + b^2, where a=ca = c and b=3b = 3.
  2. Square First Term: First, we square the first term, cc, to get c2c^2.
  3. Multiply and Double: Next, we multiply the first term, cc, by the second term, 33, and double it to get 2×c×32 \times c \times 3, which simplifies to 6c6c.
  4. Square Second Term: Finally, we square the second term, 33, to get 323^2, which is 99.
  5. Combine Terms: Now we combine all the terms to get the final simplified form: c26c+9c^2 - 6c + 9.

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