упростите выражение : 10/25-b^2 -1/5+ b+ 1/5-b)(25-10b+b^2)

Question

упростите выражение : 10/25-b^2 -1/5+ b+ 1/5-b)(25-10b+b^2)

Answer 1

(10/(25-b²)-1/(5+b)+1/(5-b))*(25-10b+b²)=

=((10-5+b+5+b)/(5-b)(5+b))*(5-b)²=

=((10+2b)(5-b))/(5+b)=

=(50-2b²)/(5+b)=

=2(25-b²)/(5+b)=

=2(5-b)(5+b)/(5+b)=

=10-2b.