Factorize each of the following algebraic expression:

Question:

Factorize each of the following algebraic expression:
96 − 4x − x2

Solution:

$96-4 x-x^{2}$

$=100-4-4 \mathrm{x}-\mathrm{x}^{2}$

$=100-\left(\mathrm{x}^{2}+4 \mathrm{x}+4\right)$

$=100-\left(\mathrm{x}^{2}+2 \times \mathrm{x} \times 2+2^{2}\right)$

$=10^{2}-(\mathrm{x}+2)^{2}$

$=[10-(\mathrm{x}+2)][10+(\mathrm{x}+2)]$

$=(10-\mathrm{x}-2)(10+\mathrm{x}+2)$

$=(8-\mathrm{x})(12+\mathrm{x})$

$=(x+12)(-x+8)$

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