Problem 36 of 7
Factor the perfect-square trinomial 36m^2-84m+49.
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recognize a^2 +/- 2ab + b^2.
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Expression must match a^2+2ab+b^2 or a^2-2ab+b^2.
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Solution
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1. Identify the square terms at the ends.
2. Check whether the middle term is twice the product of their roots.
3. Write the expression as a squared binomial.
Use the worked steps, then substitute the final answer back into the original relationship to confirm it satisfies the prompt.
Factorizations where the middle term does not equal plus or minus 2ab.