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Mathematics 7 Online
OpenStudy (anonymous):

Given the following perfect square trinomial, fill in the missing term. (Do not type the variable in the blank.) 4x2 + ___x + 49 Numerical Answers Expected!

jimthompson5910 (jim_thompson5910):

4x^2 + ___x + 49 (2x)^2 + ___x + 7^2 it's now in the form a^2 + 2ab + b^2

jimthompson5910 (jim_thompson5910):

where a = 2x and b = 7 So 2ab = 2*(2x)*7 2ab = 28x

jimthompson5910 (jim_thompson5910):

Which means that 4x^2 + ___x + 49 turns into 4x^2 + 28x + 49 and it's now a perfect square

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