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Mathematics 16 Online
OpenStudy (anonymous):

4x^2 + 12x + 9

OpenStudy (anonymous):

by some miracle this a perfect square, factors as \[(2x+3)^2\]

OpenStudy (anonymous):

ok what about this then its a similar problem 25x^2 -20x - 4

OpenStudy (anonymous):

not a perfect square

OpenStudy (anonymous):

it looks almost like one but the \(-4\) at the end throws it off

OpenStudy (anonymous):

this one does not factor

OpenStudy (anonymous):

wait so it cant be a negative? at the end?

OpenStudy (anonymous):

ever?

OpenStudy (anonymous):

not is it is going to be a "perfect square"

OpenStudy (anonymous):

what does the perfect square consist of then?

OpenStudy (anonymous):

\[(a+b)^2=a^2+2ab+b^2\]

OpenStudy (anonymous):

now \(2ab\) can be negative, but \(a^2\) and \(b^2\) cannot be negative on account of they are squares

OpenStudy (anonymous):

got it thanks

OpenStudy (anonymous):

yw

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