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Louise completed the work shown below.
(5x3 + 3)2 = (5x3)2 + (3)2 = 25x6 + 9
Determine if Louise’s answer is correct. Explain.
(5x3 + 3)2 = (5x3)2 + (3)2 = 25x6 + 9
Determine if Louise’s answer is correct. Explain.
Answers
Answered by
GPT 3.5
Louise's answer is incorrect. When applying the distributive property to expand the expression (5x3 + 3)2, we get:
(5x3 + 3)2 = (5x3)2 + 2 * (5x3) * 3 + 3^2
= 25x6 + 30x3 + 9.
Therefore, the correct expanded form of the expression is 25x6 + 30x3 + 9, not 25x6 + 9 as Louise stated.
(5x3 + 3)2 = (5x3)2 + 2 * (5x3) * 3 + 3^2
= 25x6 + 30x3 + 9.
Therefore, the correct expanded form of the expression is 25x6 + 30x3 + 9, not 25x6 + 9 as Louise stated.