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Mathematics 21 Online
OpenStudy (anonymous):

Bill wants to factor x^2 + 8x + 16 by grouping; however, Sara says it is a special product and can factor a different way. Using complete sentences, explain how both methods will result in the same factors.

OpenStudy (anonymous):

it can be like that in the following equation:

OpenStudy (anonymous):

\[x ^{2}+4x+4x+16\]

OpenStudy (anonymous):

\[x(x+4)+4(x+4)\]

OpenStudy (anonymous):

then by taking common outside we'll get:

OpenStudy (anonymous):

\[(x+4)(x+4)\]

OpenStudy (anonymous):

the final is in above equation where we get the 2 factors of your given question.. but here the 2 factors are same

OpenStudy (anonymous):

got it or not???

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