\[{x}^{3}+5x+2{x}^{2}+10\]
1
Factor out common terms in the first two terms, then in the last two terms.
x(x2+5)+2(x2+5)x({x}^{2}+5)+2({x}^{2}+5)

2
Factor out the common term x2+5{x}^{2}+5.
(x2+5)(x+2)({x}^{2}+5)(x+2)

Done
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