2a²-2b²)-(a-b)=2(a²-b²)-(a-b)=2(a-b)(a+b)-(a-b)=(a-b)(2(a+b)-1)
ax²-2ax-bx²+2bx-b+a=a(1+x²-2x)+b(2x-1-x²)=a(1+x²-2x)-b(1+x²-2x)=(1+x²-2x)(a-b)
S=n(a1+an)/2 S=90(10+99)/2=4905
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(а²-b²)/(a+b)² = (a-b)(a+b)/(a+b)(a+b).
После сокращения получаем (a-b)/(a+b).
Verified answer
2a²-2b²)-(a-b)=2(a²-b²)-(a-b)=2(a-b)(a+b)-(a-b)=(a-b)(2(a+b)-1)
ax²-2ax-bx²+2bx-b+a=a(1+x²-2x)+b(2x-1-x²)=a(1+x²-2x)-b(1+x²-2x)=(1+x²-2x)(a-b)
S=n(a1+an)/2 S=90(10+99)/2=4905