Question

why do we need to follow the steps in factoring perfect square trinomials?​

Answer 1

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The following are the tips on how to recognize a perfect square trinomial:

■Check whether the first and last terms of the trinomial are perfect squares

■Multiply the roots of the first and third terms together.

■Compare to the middle terms with the result in step two

■If the first and last terms are perfect squares, and the coefficient of the middle term is twice the product of the square roots of the first and last terms, then, the expression is a prefect square trinomial.