(а2−9)/(а2−2а+4)(а^2 -9)/(а^2 -2а+4)(а2−9)/(а2−2а+4) ÷ а+3а+3а+3/9а3+729а^3 +729а3+72
Simplify the expression by factoring and canceling out common terms:
(a2−9)/((a−2)2)(a^2 - 9)/((a - 2)^2)(a2−9)/((a−2)2) ÷ a+3a + 3a+3/9a3+729a^3 + 729a3+72 (a+3)(a−3)/((a−2)2)(a + 3)(a - 3)/((a - 2)^2)(a+3)(a−3)/((a−2)2) ÷ a+3a + 3a+3/9(a3+8)9(a^3 + 8)9(a3+8) (a+3)(a−3)/((a−2)2)(a + 3)(a - 3)/((a - 2)^2)(a+3)(a−3)/((a−2)2) 9(a3+8)9(a^3 + 8)9(a3+8)/a+3a + 3a+3 Cancel out a+3a + 3a+3:a−3a - 3a−3/(a−2)2(a - 2)^2(a−2)2 9a3+8a^3 + 8a3+8 a−3a - 3a−3* 9a3+8a^3 + 8a3+8/(a−2)2(a - 2)^2(a−2)2 9a4−27+72a−2169a^4 - 27 + 72a - 2169a4−27+72a−216/(a−2)2(a - 2)^2(a−2)2 9a^4 + 72a - 243/(a−2)2(a - 2)^2(a−2)2
Therefore, the simplified expression is 9a4+72a−2439a^4 + 72a - 2439a4+72a−243/(a−2)2(a - 2)^2(a−2)2.
(а2−9)/(а2−2а+4)(а^2 -9)/(а^2 -2а+4)(а2−9)/(а2−2а+4) ÷ а+3а+3а+3/9а3+729а^3 +729а3+72
Simplify the expression by factoring and canceling out common terms:
(a2−9)/((a−2)2)(a^2 - 9)/((a - 2)^2)(a2−9)/((a−2)2) ÷ a+3a + 3a+3/9a3+729a^3 + 729a3+72 (a+3)(a−3)/((a−2)2)(a + 3)(a - 3)/((a - 2)^2)(a+3)(a−3)/((a−2)2) ÷ a+3a + 3a+3/9(a3+8)9(a^3 + 8)9(a3+8) (a+3)(a−3)/((a−2)2)(a + 3)(a - 3)/((a - 2)^2)(a+3)(a−3)/((a−2)2) 9(a3+8)9(a^3 + 8)9(a3+8)/a+3a + 3a+3 Cancel out a+3a + 3a+3:
a−3a - 3a−3/(a−2)2(a - 2)^2(a−2)2 9a3+8a^3 + 8a3+8 a−3a - 3a−3* 9a3+8a^3 + 8a3+8/(a−2)2(a - 2)^2(a−2)2 9a4−27+72a−2169a^4 - 27 + 72a - 2169a4−27+72a−216/(a−2)2(a - 2)^2(a−2)2 9a^4 + 72a - 243/(a−2)2(a - 2)^2(a−2)2
Therefore, the simplified expression is 9a4+72a−2439a^4 + 72a - 2439a4+72a−243/(a−2)2(a - 2)^2(a−2)2.