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

(c+8)(8c+2)=

Expand.\newlineYour answer should be a polynomial in standard form.\newline(c+8)(8c+2)=(c+8)(8c+2)=

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Q. Expand.\newlineYour answer should be a polynomial in standard form.\newline(c+8)(8c+2)=(c+8)(8c+2)=
  1. Apply Distributive Property: Apply the distributive property to expand the expression (c+8)(8c+2)(c+8)(8c+2).\newlineDistribute each term in the first binomial, (c+8)(c+8), to each term in the second binomial, (8c+2)(8c+2).\newline(c+8)(8c+2)=c(8c)+c(2)+8(8c)+8(2)(c+8)(8c+2) = c(8c) + c(2) + 8(8c) + 8(2)
  2. Multiply the Terms: Multiply the terms.\newlineMultiply cc by 8c8c to get 8c28c^2.\newlineMultiply cc by 22 to get 2c2c.\newlineMultiply 88 by 8c8c to get 64c64c.\newlineMultiply 88 by 22 to get 8c8c11.\newline8c8c22
  3. Combine Like Terms: Combine like terms.\newlineCombine the terms 2c2c and 64c64c to get 66c66c.\newline(c+8)(8c+2)=8c2+66c+16(c+8)(8c+2) = 8c^2 + 66c + 16
  4. Write in Standard Form: Write the polynomial in standard form.\newlineThe standard form for a polynomial is to write the terms in descending order of their exponents.\newlineThe polynomial is already in standard form: 8c2+66c+168c^2 + 66c + 16.

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