(x+5)(x+4)
x²+9x+20
To expand this expression, we can use the distributive property of multiplication as follows:
(x+5)(x+4) = x(x+4) + 5(x+4)
Now we can use the distributive property again to simplify each term:
x(x+4) = x^2 + 4x
5(x+4) = 5x + 20
Putting these terms back together gives the expanded form of the expression:
(x+5)(x+4) = x^2 + 4x + 5x + 20
Simplifying this expression by combining like terms gives us the final answer:
(x+5)(x+4) = x^2 + 9x + 20
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