Final answer to the problem
$f\left(x\right)=x^2+14x+45$
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Apply the formula: $\left(x+a\right)\left(x+b\right)$$=x^2+\left(a+b\right)x+ab$, where $a=5$, $b=9$, $x+b=x+9$ and $x+a=x+5$
$f\left(x\right)=x^2+\left(5+9\right)x+5\cdot 9$
Learn how to solve expressions algébriques problems step by step online.
$f\left(x\right)=x^2+\left(5+9\right)x+5\cdot 9$
Learn how to solve expressions algébriques problems step by step online. f(x)=(x+5)(x+9). Apply the formula: \left(x+a\right)\left(x+b\right)=x^2+\left(a+b\right)x+ab, where a=5, b=9, x+b=x+9 and x+a=x+5. Apply the formula: a+b=a+b, where a=5, b=9 and a+b=5+9. Apply the formula: ab=ab, where ab=5\cdot 9, a=5 and b=9.
Final answer to the problem
$f\left(x\right)=x^2+14x+45$
