A) \[{{x}^{2}}-\left( a+b \right)x+ab\]
B) \[{{x}^{2}}-\left( a-b \right)x+ab\]
C) \[{{x}^{2}}-\left( a-b \right)x+ab\]
D) \[~{{x}^{2}}+\left( a-b \right)x-ab\]
Correct Answer: D
Solution :
(d): Multiply \[\left( x+a \right)\left( x-b \right)\] term by term \[=\left( x+a \right)x+\left( x+a \right)\left( -b \right)\] \[={{x}^{2}}+ax-bx-ab\] \[={{x}^{2}}+\left( a-b \right)x-ab.\]
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