Question 4(ii) Simplify: (2x+5)2−(2x−5)2
(2x+5)2−(2x−5)2 =(2x)2+2×2x×5+(5)2−[(2x)2−2×2x×5+(5)2] [Using identities (a+b)2=a2+2ab+b2 and (a−b)2=a2−2ab+b2] =4x2+20x+25−[4x2−20x+25] =40x
Evaluate (2x+5)2−(2x−5)2