how do you solve a^2-2a-3/a^2-9a+18 – a^2-5a-6/a^2+9a+8?

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Natalie Goodwin · Accepted Answer

Hi, a² – 2a – 3 . . . a² – 5a – 6—————– – —————– =a² – 9a + 18. . a² + 9a + 8(a – 3)(a + 1) . (a – 6)(a + 1)—————– – ——————– =(a – 6)(a – 3). . (a + 8)(a + 1) a + 1 . a – 6——– – ——– =a – 6. . a + 8(a + 1)(a + 8) . (a – 6)(a – 6)——————– – —————— =(a – 6)(a + 8). . (a + 8)(a – 6) a² + 9a + 8 . . . a² – 12a + 36——————- – ——————– =(a – 6)(a + 8) . . (a – 6)(a + 8)a² + 9a + 8 – (a² – 12a + 36)—————————————- =(a – 6)(a + 8)a² + 9a + 8 – a² + 12a – 36————————————– =(a – 6)(a + 8) 21a – 28——————-

Natalie Goodwin · Answer

a² – 2a – 3 . . . a² – 5a – 6—————– – —————– =a² – 9a + 18. . a² + 9a + 8 (a – 3)(a + 1) . (a – 6)(a + 1)—————– – ——————– =(a – 6)(a – 3). . (a + 8)(a + 1)a + 1 . a – 6——– – ——– =a – 6. . a + 8(a + 1)(a + 8) . (a – 6)(a – 6)——————– – —————— =(a – 6)(a + 8). . (a + 8)(a – 6)a² + 9a + 8 . . . a² – 12a + 36——————- – ——————– =(a – 6)(a + 8) . . (a – 6)(a + 8)a² + 9a + 8 – (a² – 12a + 36)————————————–… =(a – 6)(a + 8)a² + 9a + 8 – a² + 12a – 36————————————– =(a – 6)(a + 8)21a – 28——————-

Natalie Goodwin · Answer

✐Explanation✐Factor.(a – 3)(a + 1)/[(a – 6)(a – 3)] – (a – 6)(a + 1)/[(a + 8)(a + 1)]Determine the LCD for the equation and have both fractions contain same denominator.LCD = (a – 6)(a – 3)(a + 8)(a + 1)You get:[(a – 3)(a + 1)²(a + 8)]/[(a – 6)(a – 3)(a + 8)(a + 1)] – [(a – 6)²(a + 1)(a – 3)]/[(a – 6)(a – 3)(a + 8)(a + 1)]You evaluate the equation above by yourself. Combine the numerator altogether and simplify the equation!I hope that helps!

Natalie Goodwin · Answer

what i would do is collect like terms.a^2-2a-3/a^2-9a+18-a^2-5a-6/a^2+9a+8=a^2-a^2-3/a^2-6/a^2-2a-5a+18+8=-9/a^2-7a+26

Dr. Juanita Wolff

how do you solve a^2-2a-3/a^2-9a+18 – a^2-5a-6/a^2+9a+8?

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