1) {a(a-2)-a^2+3}/(a-2) * {a^2-4a+4}/(3-2a) = (a^2-2a-a^2+3)/(a-2) * {a-2)^2}/(3-2a) = (3-2a)/(a-2) * {a-2)^2}/(3-2a) = a-2
2) {2(a+2)-3(a-2)}/{(a-2)(a+2)} * (4-2a)/{a(10-a)} = (2a+4-3a+6)/(a^2-4) * (4-a^2)/{a(10-a)} = (-)(10-a)/(4-a^2) * (4-a^2)/{a(10-a)} = (-)1/a
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Answers & Comments
1) {a(a-2)-a^2+3}/(a-2) * {a^2-4a+4}/(3-2a) = (a^2-2a-a^2+3)/(a-2) * {a-2)^2}/(3-2a) = (3-2a)/(a-2) * {a-2)^2}/(3-2a) = a-2
2) {2(a+2)-3(a-2)}/{(a-2)(a+2)} * (4-2a)/{a(10-a)} = (2a+4-3a+6)/(a^2-4) * (4-a^2)/{a(10-a)} = (-)(10-a)/(4-a^2) * (4-a^2)/{a(10-a)} = (-)1/a