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Expand.
Your answer should be a polynomial in standard form.

(-8k+1)(-8k+1)=

Expand.\newlineYour answer should be a polynomial in standard form.\newline(8k+1)(8k+1)(-8k+1)(-8k+1) =

Full solution

Q. Expand.\newlineYour answer should be a polynomial in standard form.\newline(8k+1)(8k+1)(-8k+1)(-8k+1) =
  1. Apply distributive property: Apply the distributive property (also known as the FOIL method for binomials) to expand the expression (8k+1)(8k+1)(-8k+1)(-8k+1).\newline(\(-8k+11)(8-8k+11) = (8-8k)(8-8k) + (8-8k)(11) + (11)(8-8k) + (11)(11)
  2. Multiply first terms: Multiply the first terms (8k)(8k)(-8k)(-8k).\newline(8k)(8k)=64k2(-8k)(-8k) = 64k^2
  3. Multiply outer terms: Multiply the outer terms (8k)(1)(-8k)(1).\newline(8k)(1)=8k(-8k)(1) = -8k
  4. Multiply inner terms: Multiply the inner terms (1)(8k)(1)(-8k).\newline(1)(8k)=8k(1)(-8k) = -8k
  5. Multiply last terms: Multiply the last terms (1)(1)(1)(1). \newline(1)(1)=1(1)(1) = 1
  6. Combine like terms: Combine like terms from the results of steps 22, 33, 44, and 55.\newline64k2+(8k)+(8k)+164k^2 + (-8k) + (-8k) + 1\newline64k28k8k+164k^2 - 8k - 8k + 1\newline64k216k+164k^2 - 16k + 1

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