Question

Скоротіть дроби 1) t2-4 2) 25- x2 3)6xm+18m ----------; ----------- ; ----------------; 2t+4 2x+10 9-x2 4) 3x2-15xy 5) a3-16a 6) t2-9t ----------- ----------- -------- x2- 25y2 a2+4a 81t-t3

Answer 1

1) (t^2-4) (2t+4)= (t-2)(t+2)     (2(t+2) )  =    (t-2)    2

2) (25-x^2)(2x+10)=(5-x)(5+x)(2*(x+5))=(5-x)2

3) (6xm+18m)(9-x^2)=6m(x+3)((3-x)*(3+x))=6m(3-x)

4) (3x^2-15xy)(x^2-25^y^2)=3x(x-5y)((x-5y)*(x+5y))=3x(x+5y)

5) (a^3-16a)(a^2+4a)=a*(a-4)(a+4) (a*(a+4))=a-4

6) (t^2-9t)(81t-t^3)=t(t-9)(t*(9-t)*(9+t))=-1(9+t)