factorise X ^2 + 10 X + 16
tarang92:
x^2 + 10x + 16 = x^2 + 8x + 2x + 16 = x( x + 8) + 2(x + 8) = (x + 8) (x + 2)
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Answer:
(x + 8) (x + 2)
Step-by-step explanation:
Given :
To factorize,
x² + 10x + 16
Solution :
By splitting the middle term into two parts,
and taking variables and constants as common in braces,
We get,
⇒ x² + 10 x + 16
⇒ x² + 8x + 2x + 16 ∵ splitting the middle term)
⇒ x(x + 8) + 2(x + 8) ∵ taking variables & constants as common in braces,
⇒ (x + 2) (x + 8)
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