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Which shows a perfect square trinomial? a. 50y2 – 4x2 b. 100 – 36x2y2 c. 16x2 + 24xy + 9y2 d. 49x2 – 70xy + 10y2

Chelsea Hayes

in Mathematics

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Kristi Hammond on January 2, 2019

The answer is c. 16x2 + 24xy + 9y2.Since we have a trinomial (three-term expression) options a and b are incorrect because they have only two terms.Therefore, our square trinomial a2 + 2ab + b2 and a2 - 2ab + b2a2 + 2ab + b2 = (a + b)2a2 - 2ab + b2 = (a - b)2let the verification of the options c and d:c) 16x2 + 24xy + 9y2a2 = 16x2a2 = (4x)2a = 4xb2 = 9y2b2 = (3y)2b = 3ya2 + 2ab + b2 = (4x)2 + 2 * 4x * 3y + (3y)2 = 16x2 + 24xy + 9y2CORRECTd) 49x2 - 70xy + 10y2a2 = 49x2a2 = (7x)2a = 7xb2 = 10y2b2 = (y√10)2b = and√10a2 + 2ab + b2 = (7x)2 + 2 * 7x * and√10 + (and√10)2 = 49x2 + 14xy√10 + 10y2INCORRECTSo, c) is the correct answer


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