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利用因式分解计算:7.6^2*2.012+15.2*2.4*2.012+2.4^2*2.012

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7.6^2*2.012+15.2*2.4*2.012+2.4^2*2.012
=(7.6^2*2.012+2.4^2*2.012)+15.2*2.4*2.012
=2.012×(7·6²+2·4²)+15.2*2.4*2.012
=2·012×(7·6²+2·4²+15·2×2·4)
=2·012×(7·6²+2×7·6×2·4+2·4²)
=2·012×(7·6+2·4)²
=2·012×100
=201·2