Louise completed the work shown below.(5x3 + 3)2 = (5x3)2 + (3)2 = 25x6 + 9Determine if Louise’s answer is correct. Explain.

Answer:

Louise's answer is incorrect. When squaring a binomial, you must multiply the binomial by itself (5x^3 + 3)(5x^3 + 3). Using the FOIL method or the distributive property, the middle term is 2(5x^3 * 3) = 30x^3. Her result should have been 25x^6 + 30x^3 + 9. She incorrectly simply squared the individual terms instead of using the formula for a perfect square trinomial (a + b)^2 = a^2 + 2ab + b^2.