Multiply and simplify (x^2+2x-3/x^2+1x-20)/(x-1/x+5)

glasskerfu 2021-02-14 Answered
Multiply and simplify
x2+2x3x2+1x20x1x+5
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Expert Answer

cyhuddwyr9
Answered 2021-02-15 Author has 90 answers
Firstly, we will factorise the quadratics by splitting middle terms
x2+2x3=x2+3xx3=x(x+3)1(x+3)=(x1)(x+3)
x2+x20=x2+5x4x20=x(x+5)4(x+5)=(x4)(x+5)
Now we will replace the quadratic by their factors and reciprocate the lower fraction.
x2+2x3x2+x20x1x+5=(x1)(x+3)(x4)(x+5)x+5x1=x+3x4
Ans:x+3x4

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