Q. Expand.Your answer should be a polynomial in standard form.(5+w)(w+4)=
Apply Distributive Property: Apply the distributive property to expand the expression (5+w)(w+4).We will distribute each term in the first parenthesis by each term in the second parenthesis.(5+w)(w+4)=5(w)+5(4)+w(w)+w(4)
Multiply Terms: Multiply the terms from Step 1.Now we will perform the multiplication for each term.5(w)+5(4)+w(w)+w(4)=5w+20+w2+4w
Combine Like Terms: Combine like terms.We will add the terms with w to simplify the expression.5w+20+w2+4w=w2+(5w+4w)+20=w2+9w+20