Question
Perform the indicated operations, then simplify.
7x^2/x^2-49 - 7x/x+7+7/x-7
7x^2/x^2-49 - 7x/x+7+7/x-7
Answers
Answered by
Damon
maybe the student means (parentheses work wonders)
7x^2/(x^2-49) - 7x/(x+7) + 7/(x-7)
= 7x^2/(x^2-49) - 7x(x-7) / [(x+7)(x-7)] + 7(x+7) / [ (x+7) /(x-7)]
= [ 7x^2 - 7x^2 + 49 x + 7x +49 ] / [ (x+7) /(x-7)]
= (49 x + 7 x + 49) /[ (x+7) /(x-7)]
= [ 56 x + 49] / [ (x+7) /(x-7)]
=7 [ 8x+7] /[ (x+7) /(x-7)]
7x^2/(x^2-49) - 7x/(x+7) + 7/(x-7)
= 7x^2/(x^2-49) - 7x(x-7) / [(x+7)(x-7)] + 7(x+7) / [ (x+7) /(x-7)]
= [ 7x^2 - 7x^2 + 49 x + 7x +49 ] / [ (x+7) /(x-7)]
= (49 x + 7 x + 49) /[ (x+7) /(x-7)]
= [ 56 x + 49] / [ (x+7) /(x-7)]
=7 [ 8x+7] /[ (x+7) /(x-7)]
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