Problem

Multiply.
\[
(5 x+4)(x+5)
\]

Answer

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Answer

So, \(\boxed{(5x+4)(x+5) = 5x^2 + 29x + 20}\)

Steps

Step 1 :First, we multiply the first terms in each binomial: \(5x * x = 5x^2\)

Step 2 :Next, we multiply the outer terms: \(5x * 5 = 25x\)

Step 3 :Then, we multiply the inner terms: \(4 * x = 4x\)

Step 4 :Finally, we multiply the last terms: \(4 * 5 = 20\)

Step 5 :Now, we add all these results together: \(5x^2 + 25x + 4x + 20 = 5x^2 + 29x + 20\)

Step 6 :So, \(\boxed{(5x+4)(x+5) = 5x^2 + 29x + 20}\)

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