Question 3: Factor the following polynomial: \( 2x^2−2y^2+16x+32\)

\(\begin{array}{*{20}{l}} {\:\:\:2{x^2} – 2{y^2} + 16x + 32}\\ { = 2\left( { {x^2} + 8{x^2} + 16 – {y^2}} \right)}\\ { = 2\left[ {{{\left( {x + 4} \right)}^2} – {y^2}} \right]}\\ { = 2\left( {x + 4 – y} \right)\left( {x + 4 + y} \right).} \end{array}\)