\begin{array} { l } { \text { Solve the following cquation using facto

1.	\begin{array} { l } { \text { Solve the following cquation using factorivation method. } } \\ { 4 x ^ { 2 } - 4 a x + \left( a ^ { 2 } - b ^ { 2 } \right) = 0 } \end{array}
Answer» 4x²-4ax +(a²-b²)=0 4x²-2(a+b) x-2(a-b)x +(a+b)(a-b)=0⇒2x[2x-(a+b)] -(a-b)[2x-(a+b)]=0 ⇒[2x-(a+b)] [2x-(a-b)]=0therefore2x-(a+b) =0 or 2x-(a-b) =0 2x = (a+b) or 2x= (a-b) x= (a+b)/2 or x= (a-b) /2

\begin{array} { l } { \text { Solve the following cquation using factorivation method. } } \\ { 4 x ^ { 2 } - 4 a x + \left( a ^ { 2 } - b ^ { 2 } \right) = 0 } \end{array}

Answer»

4x²-4ax +(a²-b²)=0

4x²-2(a+b) x-2(a-b)x +(a+b)(a-b)=0⇒2x[2x-(a+b)] -(a-b)[2x-(a+b)]=0

⇒[2x-(a+b)] [2x-(a-b)]=0therefore2x-(a+b) =0 or 2x-(a-b) =0

2x = (a+b) or 2x= (a-b)

x= (a+b)/2 or x= (a-b) /2