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

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Full solution

Q. Find the square. Simplify your answer.\newline(p+2)2(p + 2)^2
  1. Expand Binomials: To find the square of (p+2)(p + 2), we need to multiply (p+2)(p + 2) by itself.\newline(p+2)2=(p+2)(p+2)(p + 2)^2 = (p + 2)(p + 2)
  2. Distribute pp: Distribute the first term of the first binomial, pp, to each term of the second binomial.p(p+2)=p2+2pp(p + 2) = p^2 + 2p
  3. Distribute 22: Distribute the second term of the first binomial, 22, to each term of the second binomial.2(p+2)=2p+42(p + 2) = 2p + 4
  4. Combine Expansions: Combine the results from the previous two steps to get the full expansion.\newline(p+2)2=(p2+2p)+(2p+4)(p + 2)^2 = (p^2 + 2p) + (2p + 4)
  5. Simplify Expression: Combine like terms to simplify the expression. p2+2p+2p+4=p2+4p+4p^2 + 2p + 2p + 4 = p^2 + 4p + 4

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