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Find the square. Simplify your answer.\newline(g+2)2(g + 2)^2

Full solution

Q. Find the square. Simplify your answer.\newline(g+2)2(g + 2)^2
  1. Expand Binomials: To find the square of (g+2)(g + 2), we need to multiply (g+2)(g + 2) by itself.\newline(g+2)2=(g+2)(g+2)(g + 2)^2 = (g + 2)(g + 2)
  2. Distribute First Term: Distribute the first term of the first binomial across the second binomial.\newline(g+2)(g+2)=g(g+2)+2(g+2)(g + 2)(g + 2) = g(g + 2) + 2(g + 2)
  3. Multiply gg: Multiply gg by each term in the second binomial.g(g+2)=g2+2gg(g + 2) = g^2 + 2g
  4. Multiply 22: Multiply 22 by each term in the second binomial.\newline2(g+2)=2g+42(g + 2) = 2g + 4
  5. Combine Results: Combine the results from the previous two steps.\newline(g2+2g)+(2g+4)=g2+2g+2g+4(g^2 + 2g) + (2g + 4) = g^2 + 2g + 2g + 4
  6. Combine Like Terms: Combine like terms. g2+2g+2g+4=g2+4g+4g^2 + 2g + 2g + 4 = g^2 + 4g + 4

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