Answer
$x^2+9x+20$
Work Step by Step
The distributive property is $a(b+c)=a\cdot b+a\cdot c$
$\begin{aligned}(x+4)(x+5)&=x(x+5)+4(x+5)\\&=x^2+5x+4x+20\\&=x^2+9x+20\end{aligned}$
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