\(A=2\frac{1}{315}\cdot\frac{1}{651}-\frac{1}{105}\cdot3\frac{650}{651}-\frac{4}{315\cdot651}+\frac{4}{105}\)
=\(\frac{1}{315}\cdot\frac{1}{651}+2\cdot\frac{1}{651}-\frac{1}{105}\cdot\left(4-\frac{1}{651}\right)-\frac{4}{315}\cdot\frac{1}{651}+\frac{4}{105}\)
=\(\frac{1}{315}\cdot\frac{1}{651}+2\cdot\frac{1}{651}-\frac{4}{105}+\frac{1}{105}\cdot\frac{1}{651}-\frac{4}{315}\cdot\frac{1}{651}+\frac{4}{105}\)
=\(\frac{1}{651}\cdot\left(\frac{1}{315}+\frac{1}{105}+2-\frac{4}{315}\right)\)+\(\frac{4}{105}-\frac{4}{105}\)
=\(\frac{2}{651}\)
Bạn sai dấu trừ ở trước số 4 phần 105 phải là cộng mình làm bài này rồi
giải cách này cũng được nè:
Đặt \(x\)=\(\frac{1}{315}\) ; \(y\)=\(\frac{1}{651}\) ; \(z\)=\(\frac{1}{105}\)
A=\(2\frac{1}{315}\cdot\frac{1}{651}-\frac{1}{105}\cdot3\frac{650}{651}-\frac{4}{315\cdot651}+\frac{4}{105}\)
=\(\left(2+\frac{1}{315}\right)\cdot\frac{1}{651}-\frac{1}{105}\cdot\left(4-\frac{1}{651}\right)-4\cdot\frac{1}{315}\cdot\frac{1}{651}+4\cdot\frac{1}{105}\)
=\(\left(2+x\right)y-z\left(4-y\right)-4xy+4z\)
=\(2y+xy-4z+zy-4xy+4z\)
=\(2y+zy-3xy\)
=\(2\cdot\frac{1}{651}+\frac{1}{105}\cdot\frac{1}{651}-3\cdot\frac{1}{315}\cdot\frac{1}{651}\)
=\(\frac{2}{651}+\left(\frac{1}{105}\cdot\frac{1}{651}-\frac{1}{105}\cdot\frac{1}{651}\right)\)
=\(\frac{2}{651}+0=\frac{2}{651}\)
