1.

Factorize (x^2+4)-2a-a^2-5​

Answer»

Step-by-step EXPLANATION:

( {x}^{2}  + 4) - 2a -  {a}^{2}  - 5 \\ on \: simplifying \: we \: find \\  {x}^{2}    + 4 -  {a}^{2}  - 2a - 5 \\  =  {x}^{2}  -  {a}^{2}  - 2a - 1 \\  =  {x}^{2}  - ( {a}^{2}  + 2a + 1) \\  =  {x}^{2}  - ( {a + 1})^{2}  \\  = (x + a + 1)(x - a - 1) \: are \: the  \:  \\  required \: factors \: of \: \\ given \:  quadratic \: polynomial.



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