в) 1. (x^3 - 4^3) / (x^2-4^2) =
=((x-4)(x^2+4x+16))/((x-4)(x+4))=
=(x^2+4x+16)/(x+4)
2. (x^2+10x+25-5x)/x^3-5^3=
=(x^2+5x+25)/((x-5)(x^2+5x+25))=
=1/(x-5)
г) 1. x^2+3x+y^2+3y
2. by-ax
3. (((x-2)(x+2))/(x^5))*((x^2)/(x+2))=
= (x-2)/x^3
4. (((2y-5)(2y+5))/a)*((2y-5)/(2y+5))=
= ((2y-5)^2)/a
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Answers & Comments
в) 1. (x^3 - 4^3) / (x^2-4^2) =
=((x-4)(x^2+4x+16))/((x-4)(x+4))=
=(x^2+4x+16)/(x+4)
2. (x^2+10x+25-5x)/x^3-5^3=
=(x^2+5x+25)/((x-5)(x^2+5x+25))=
=1/(x-5)
г) 1. x^2+3x+y^2+3y
2. by-ax
3. (((x-2)(x+2))/(x^5))*((x^2)/(x+2))=
= (x-2)/x^3
4. (((2y-5)(2y+5))/a)*((2y-5)/(2y+5))=
= ((2y-5)^2)/a