(x + 5)(x + 4) =

\(x^{2}+9 x+20\)

Explanation

Multiply the first variable in the first set of parentheses with the first variable in the second set of parentheses \(\left(x \times x=x^{2}\right)\).Next, multiply the first variable in the first set of parentheses with the second number in the second set of parentheses (x * 4 = 4x). So far, the results are \(x^{2}+4 x\) . Now, multiply the second number in the first set of parentheses to the first vari- able in the second set of parentheses (5 * x = 5x). Next, multiply the second number in the first set of parentheses to the second number in the second set of parentheses (5 * 4 = 20). The solution is \({x^2} + 5x + 4x + 20\) . Combining the like terms results in \( {x^2} + 9x + 20\) . (An easy way to remember this sequence is FOIL : First, Outside, Inside, Last.)

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