(a-6)(a+6)(36+а²)- (a²-18)² при а=-1/6 - вопрос №718512066361816 от prosto51 05.08.2020 19:38

Question

Математика: (a-6)(a+6)(36+а²)- (a²-18)² при а=-1/6

prosto51 · Answer

36{a}^{2}+{a}^{4}-1296-36{a}^{2}-{({a}^{2})}^{2}+2{a}^{2}\times 18-{18}^{2}36a2+a4−1296−36a2−(a2)2+2a2×18−182

{({x}^{a})}^{b}={x}^{ab}(xa)b=xab

36{a}^{2}+{a}^{4}-1296-36{a}^{2}-{a}^{4}+2{a}^{2}\times 18-{18}^{2}36a2+a4−1296−36a2−a4+2a2×18−182

Simplify {18}^{2}182 to 324324

36{a}^{2}+{a}^{4}-1296-36{a}^{2}-{a}^{4}+2{a}^{2}\times 18-32436a2+a4−1296−36a2−a4+2a2×18−324

Simplify 2{a}^{2}\times 182a2×18 to 36{a}^{2}36a2

36{a}^{2}+{a}^{4}-1296-36{a}^{2}-{a}^{4}+36{a}^{2}-32436a2+a4−1296−36a2−a4+36a2−324

Collect like terms

(36{a}^{2}-36{a}^{2}+36{a}^{2})+({a}^{4}-{a}^{4})-1296-324(36a2−36a2+36a2)+(a4−a4)−1296−324

Simplify

36{a}^{2}-1296-32436a2−1296−324

Simplify

36{a}^{2}-162036a2−1620

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