Problem

Find the perfect square trinomial for the expression \(x^2 + 6x\)

Answer

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Answer

Substituting \(a = x\) and \(b = 3\) into the perfect square trinomial formula, we get \(x^2 + 2*3*x + 3^2\).

Steps

Step 1 ：The perfect square trinomial formula is \(a^2 + 2ab + b^2\). In the given expression, we have \(a = x\) and \(2ab = 6x\).

Step 2 ：Solving \(2ab = 6x\) for \(b\), we get \(b = 3\).

Step 3 ：Substituting \(a = x\) and \(b = 3\) into the perfect square trinomial formula, we get \(x^2 + 2*3*x + 3^2\).

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