Name: Nick

Who is asking: Student
Level: Secondary

Question: how do u solve 4x(2x-1)+(2x-1)2

please include step by step instructions, thank you

Hi Nick,

One of the skills you have to learn in algebra is "pattern recognition". Its like the skill you have that allows you to hear the first two bars of a song and be able to identify the song. In this problem the pattern you need to see is (2x-1) which appears as a factor in both terms. Thus (2x-1) is a common factor and you can factor the expression as

4x(2x - 1) + (2x - 1)2 = (2x - 1)[4x + (2x - 1)] Can you complete it now?

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