大师作文网利用因式分解计算：7.6^2*2.012+15.2*2.4*2.012+2.4^2*2.012
来源：学生作业帮 编辑：大师作文网作业帮 分类：数学作业 时间：2024/11/19 09:57:19
利用因式分解计算：7.6^2*2.012+15.2*2.4*2.012+2.4^2*2.012
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
=(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