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

(5+w)(w+4)=

Expand.\newlineYour answer should be a polynomial in standard form.\newline(5+w)(w+4)=(5+w)(w+4)=

Full solution

Q. Expand.\newlineYour answer should be a polynomial in standard form.\newline(5+w)(w+4)=(5+w)(w+4)=
  1. Apply Distributive Property: Apply the distributive property to expand the expression (5+w)(w+4)(5+w)(w+4).\newlineWe will distribute each term in the first parenthesis by each term in the second parenthesis.\newline(5+w)(w+4)=5(w)+5(4)+w(w)+w(4)(5+w)(w+4) = 5(w) + 5(4) + w(w) + w(4)
  2. Multiply Terms: Multiply the terms from Step 11.\newlineNow we will perform the multiplication for each term.\newline5(w)+5(4)+w(w)+w(4)=5w+20+w2+4w5(w) + 5(4) + w(w) + w(4) = 5w + 20 + w^2 + 4w
  3. Combine Like Terms: Combine like terms.\newlineWe will add the terms with ww to simplify the expression.\newline5w+20+w2+4w=w2+(5w+4w)+205w + 20 + w^2 + 4w = w^2 + (5w + 4w) + 20\newline=w2+9w+20= w^2 + 9w + 20

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