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Add.\newline(7z2+6z)+(3z+2)(7z^2 + 6z) + (3z + 2)

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Q. Add.\newline(7z2+6z)+(3z+2)(7z^2 + 6z) + (3z + 2)
  1. Write Problem: Write down the problem.\newlineAdd the two polynomials (7z2+6z)(7z^2 + 6z) and (3z+2)(3z + 2).
  2. Combine Polynomials: Remove any parentheses and combine like terms.\newlineSince there are no subtraction signs or negative coefficients outside the parentheses, we can simply drop the parentheses and combine like terms.\newline(7z2+6z)+(3z+2)=7z2+6z+3z+2(7z^2 + 6z) + (3z + 2) = 7z^2 + 6z + 3z + 2
  3. Remove Parentheses: Combine the like terms.\newlineThe like terms are the terms that have the same variable raised to the same power. In this case, 6z6z and 3z3z are like terms.\newline7z2+(6z+3z)+2=7z2+9z+27z^2 + (6z + 3z) + 2 = 7z^2 + 9z + 2
  4. Combine Like Terms: Write the final simplified expression.\newlineThe final simplified expression is 7z2+9z+27z^2 + 9z + 2.

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