Question

Q: Làm tính chia:

Answer 1

e: \(\left\lbrack7\left(x^2-1\right)^4+2\left(1-x\right)^3-3\left(x-1\right)^2\right\rbrack:2\left(x-1\right)^2\)

\(=\frac{7\cdot\left(x-1\right)^4\cdot\left(x+1\right)^4-2\left(x-1\right)^3-3\left(x-1\right)^2}{2\left(x-1\right)^2}\)

\(=\frac72\cdot\left(x-1\right)^2\cdot\left(x+1\right)^4-\left(x-1\right)-\frac32\)

f: \(\left\lbrack5\left(x^3-y^3\right)^4+\left(x-y\right)^3\right\rbrack:\left(x^2-2xy+y^2\right)\)

\(=\left\lbrack5\cdot\left(x-y\right)^4\cdot\left(x^2+xy+y^2\right)^4+\left(x-y\right)^3\right\rbrack:\left(x-y\right)^2\)

\(=5\left(x-y\right)^2\cdot\left(x^2+xy+y^2\right)^4+\left(x-y\right)\)