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

glasskerfu

glasskerfu

Answered question

2021-02-14

Multiply and simplify
x2+2x3x2+1x20x1x+5

Answer & Explanation

cyhuddwyr9

cyhuddwyr9

Skilled2021-02-15Added 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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