(x + 1)(x + 4) =

\(x^{2}+5 x+4\)

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 (1 * x = 1x). Next, multiply the second number in the first set of parentheses to the second number in the second set of parentheses (1 * 4 = 4). The solution is \(x^{2}+1 x+4 x+4\) Combining the like terms results in \(x^{2}+5 x+4\) (An easy way to remember this sequence is FOIL : First, Outside, Inside, Last.)

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