Problem

Find the perfect square trinomial for the expression x2+6x

Answer

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Answer

Substituting a=x and b=3 into the perfect square trinomial formula, we get x2+2∗3∗x+32.

Steps

Step 1 ：The perfect square trinomial formula is a2+2ab+b2. 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 x2+2∗3∗x+32.

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