How to Make an Expression a Perfect Square?

Write the expression in standard form

Identify whether it is a trinomial, binomial, or polynomial

Check if the first and last terms are perfect squares

Take the square root of the first term and the square root of the last term

Verify that the middle term is twice the product of those square roots

If the middle term matches, factor the expression as a square of a binomial

If the middle term does not match, add or subtract the needed term to make it match

Use the formula a^2 + 2ab + b^2 = (a + b)^2

Use the formula a^2 – 2ab + b^2 = (a – b)^2

For a quadratic ax^2 + bx + c, complete the square if needed

Factor out any common factor before checking for a perfect square

Confirm the final expression can be written as the square of one binomial

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