To multiply the two binomials (x+5) and (x+4), we can use the distributive property:
(x+5)(x+4) = x(x+4) + 5(x+4)
Now, we can simplify by using the distributive property again:
x(x+4) + 5(x+4) = x^2 + 4x + 5x + 20
Finally, we can combine like terms to get the simplified form of the expression:
x^2 + 9x + 20
Therefore, (x+5)(x+4) simplifies to x^2 + 9x + 20.
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