Tính nhanh
\(\frac{1.5.6+2.10.12+4.20.24+9.45.54}{1.3.5+2.6.10+4.12.20.9.27.45}\)
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\(A=\frac{1.5.6+2^3.1.5.6+4^3.1.5.6+9^3.1.5.6}{1.3.5+2^3.1.3.5+4^3.1.3.5+9^3.1.3.5}=\frac{1.5.6.\left(1+2^3+4^3+9^3\right)}{1.3.5.\left(1+2^3+4^3+9^3\right)}=2\)
\(\frac{1.5.6+2.10.12+4.20.24+9.45.54}{1.3.5+2.6.10+4.12.20+9.27.45}\)=\(\frac{1.5.6+\left(1.5.6\right)2+\left(1.5.6\right)4+\left(1.5.6\right)9}{1.3.5+\left(1.3.5\right)2+\left(1.3.5\right)4+\left(1.3.5\right)9}\)
=\(\frac{\left(1.5.6\right)\left(1+2+4+9\right)}{\left(1.3.5\right)+\left(1+2+4+9\right)}=\frac{1.5.6}{1.3.5}=\frac{6}{3}=2\)
\(\frac{1.5.6+2.10.12+4.20.24+9.45.54}{1.3.5+2.6.10+4.12.20+9.27.45}=\frac{1.5.6+\left(1.5.6\right)2+\left(1.5.6\right)4+\left(1.5.6\right)9}{1.3.5+\left(1.3.5\right)2+\left(1.3.5\right)4+\left(1.3.5\right)9}=\)
\(\frac{\left(1.5.6\right)\left(1+2+4+9\right)}{\left(1.3.5\right)\left(1+2+4+9\right)}=\frac{1.5.6}{1.3.5}=\frac{6}{3}=2\)
\(\frac{1\cdot5\cdot6+2\cdot10\cdot12+4\cdot20\cdot24+9\cdot45\cdot54}{1\cdot3\cdot5+2\cdot6\cdot10+4\cdot12\cdot20+9\cdot27\cdot45}=\frac{1\cdot5\cdot6\cdot\left(1+2+4+9\right)}{1\cdot3\cdot5\cdot\left(1+2+4+9\right)}=2\)
\(\frac{1.5.6+2.10.12+4.20.24+9.45.54}{1.3.5+2.6.10+9.27.45}\)
\(=\frac{1.5.6+2.1+5.2+6.2+9.1+9.5+9.6}{1.3.5+2.1+2.3+2.5+9.1+9.3+9.5}\)
\(=\frac{1.5.6+\left(1.5.6\right).\left(2.2.2\right)+\left(1.5.6\right).\left(9.9.9\right)}{1.3.5+\left(1.3.5\right).\left(2.2.2\right)+\left(1.3.5\right).\left(9.9.9\right)}\)
\(=\frac{1.5.6.\left(1.2.2.2.9.9.9\right)}{1.3.5.\left(1.2.2.2.9.9.9\right)}=2\)
\(A=\frac{1\cdot5\cdot6+2\cdot10\cdot12+4\cdot20\cdot24+9\cdot45\cdot54}{1\cdot3\cdot5+2\cdot6\cdot10+4\cdot12\cdot20+9\cdot27\cdot45}\)
\(A=\frac{1\cdot5\cdot6\cdot\left(1+2+4+9\right)}{1\cdot3\cdot5\cdot\left(1+2+4+9\right)}\)
\(A=\frac{1\cdot5\cdot6}{1\cdot3\cdot5}\)
\(A=2\)
\(\frac{1.5.6+2.1.5.2.6.2+4.1.5.6.4.4+9.1.5.6.9.9}{1.3.5+2.2.2.1.3.5+4.4.4.1.3.5+9.9.9.1.3.5}\) (chỗ này bạn đánh sai đề bài)
\(\frac{1.5.6\left(1+8+64+729\right)}{1.3.5\left(1+8+64+729\right)}\)
\(\frac{30}{15}=2\)
\(\frac{1.5.6+2.10.12+4.20.24+9.45.54}{1.3.5+2.6.10+4.12.20+9.27.45}\)
\(=\frac{1.3.5.2+2.6.10.2+4.12.20.2+9.27.45.2}{1.3.5+2.6.10+4.12.20+9.27.45}\)
\(=\frac{2\left(1.3.5+2.6.10+4.12.20+9.27.45\right)}{1.3.5+2.6.10+4.12.20+9.27.45}\)
\(=2\)
Bạn viết sai đề chỗ dấu chấm giữa số 20 và số 9 ở mẫu nên mình sửa lại thành dấu cộng rồi nha.