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Answer:
x^2+9x+18
x^2+3x+9x+18
X(X+6)+3x(X+6)
(X+6) (X+3)
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0
Given,
An expression x^2+9x+18x
2
+9x+18 .
To find,
Factors of x^2+9x+18x
2
+9x+18
Solution,
It can be done by middle-term splitting as follows :
\begin{gathered}x^2+9x+18=x^2+(6+3)x+18\\\\=x^2+6x+3x+18\\\\=x(x+6)+3(x+6)\\\\=(x+3)(x+6)\end{gathered}
x
2
+9x+18=x
2
+(6+3)x+18
=x
2
+6x+3x+18
=x(x+6)+3(x+6)
=(x+3)(x+6)
Hence, the factors of x^2+9x+18x
2
+9x+18 are (x+3) and (x+6).
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