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Expand. If necessary, combine like terms. (7x-1)^(2)= ◻

Expand.\newlineIf necessary, combine like terms.\newline(7x−1)2= (7 x-1)^{2}= \newline□ \square

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Full solution

Q. Expand.\newlineIf necessary, combine like terms.\newline(7x−1)2= (7 x-1)^{2}= \newline□ \square
  1. Apply binomial square formula: Apply the formula for the square of a binomial.\newlineThe square of a binomial (a−b)2(a-b)^2 is equal to a2−2ab+b2a^2 - 2ab + b^2.\newlineHere, a=7xa = 7x and b=1b = 1.
  2. Calculate first term square: Calculate the square of the first term (7x)2(7x)^2.\newline(7x)2=49x2(7x)^2 = 49x^2
  3. Calculate product of terms: Calculate twice the product of the two terms, −2×(7x)×1-2\times(7x)\times1.\newline−2×(7x)×1=−14x-2\times(7x)\times1 = -14x
  4. Calculate second term square: Calculate the square of the second term (−1)2(-1)^2.(−1)2=1(-1)^2 = 1
  5. Combine results: Combine the results from steps 22, 33, and 44. 49x2−14x+149x^2 - 14x + 1

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