SOLUTION: what is 10x+3 over x-1 subtracted from 5xsquared +8x over x-1

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Question 414230: what is 10x+3 over x-1 subtracted from 5xsquared +8x over x-1
Answer by algebrahouse.com(1659) About Me  (Show Source):
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"what is 10x+3 over x-1 subtracted from 5xsquared +8x over x-1"

(5x^2 + 8x)/(x - 1) - (10x + 3)/(x - 1)
= (5x^2 + 8x - 10x - 3)/(x - 1) {took out parentheses and combined numerators}
= (5x^2 - 2x - 3)/(x - 1) {combined like terms in numerators}
= (5x + 3)(x - 1)/(x - 1) {factored numerator into two binomials}
= 5x + 3 {cancelled x - 1 on top and bottom}
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