Factorize:

$(x + 2) (x^{2} + 25) - 10 x^{2} - 20 x$

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Solution

$(x + 2) (x^{2} + 25) - 10 x^{2} - 20 x = (x + 2) (x^{2} + 25) - 10 x (x + 2) = (x + 2) [x^{2} + 25 - 10 x] = (x + 2) [(x)^{2} - 2 \times x \times 5 + (5)^{2}] = (x + 2) (x - 5)^{2}$

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