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Answer:
(x+2)(x+8)
Step-by-step explanation:
1.)find factors of the third expression(16)that will add up to give the second expression(10)
16=2×8. 10=2+8
2.)substitute those factors inplace of 10
[tex] {x}^{2} + 10x + 16[/tex]
[tex]x {}^{2} + 2x + 8x + 16[/tex]
3.)factorise using grouping method
[tex]( {x}^{2} + 2x) + (8x + 16)[/tex]
[tex]x(x + 2) + 8(x + 2)[/tex]
[tex] = (x + 2)(x + 8)[/tex]