1) (p)\(p-2) - 6\(p-2) +2p\(p-2) = (3p-6) \ (p-2) = 3(p-2)\p-2 = 3
2) (10a (a+2) - 10a (a-2)) \ (a-2)(a+2) = (10a²+20a-10a²+20a)\(a+2)(a-2)=40a\a²-4
3) (x(x+1)+x(1-x))\x²-1=(x²+x+x²-x)\x²-1 = (2x²)\x²-1
4) (m+m²+1-m²)\(1+m²)(1+m) = (m+1)\(1+m²)(1+m) = 1\1+m²
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Answers & Comments
1) (p)\(p-2) - 6\(p-2) +2p\(p-2) = (3p-6) \ (p-2) = 3(p-2)\p-2 = 3
2) (10a (a+2) - 10a (a-2)) \ (a-2)(a+2) = (10a²+20a-10a²+20a)\(a+2)(a-2)=40a\a²-4
3) (x(x+1)+x(1-x))\x²-1=(x²+x+x²-x)\x²-1 = (2x²)\x²-1
4) (m+m²+1-m²)\(1+m²)(1+m) = (m+1)\(1+m²)(1+m) = 1\1+m²