Question

wykonaj dzialania

a) x+3/3x razy x^2/x^2-9

b) 1/x+7 razy x^2-49/7x

c) 9+6x+x^2/9-6x+x^2 podzielic na x^2/x^2-16

e) x+5/x-5 podzielic na (x^2-25)

f) x+1/x-1 podzielic na x^2+x/3x-3

Answer 1

a) (x+3)x²/3x(x²-9)= (x³+3x²)/(3x³-27x)

 

b)x²-49/(x+7)7x=x²-49/(7x²+49x)

 

c)(9+6x+x²)(x²-16)/(9-6x+x²)(x²)= (9x²+6x³+x⁴-144-96x-16x²)/(9x²-6x³+x⁴)=

=(x₄+6x³-7x²-96x-144)(x⁴-6x³+9x²)

 

e)(x+5)/(x-5)(x²-25)=(x+5)/(x-5)(x+5)(x-5)=1/x²+25-10x

 

f) (x+1)(3x-3)/(x-1)(x²+x)=(3x²-3x+3x-3)/(x³+x²-x²-x)=(3x²-3)/(x³-x)=3(x²-1)/(x)(x²-1)=3/x