Question

Tìm P biết:

\(\frac{a^2-2ab}{a^2b}\). P = \(\frac{a^2b-4b^3}{3ab^2}\)

Answer 1

\(\frac{a^2-2ab}{a^2b}.P=\frac{a^2b-4b^3}{3ab^2}\)

\(P=\frac{a^2b-4b^3}{3ab^2}:\frac{a^2-2ab}{a^2b}\)

\(P=\frac{a^2b-4b^3}{3ab^2}.\frac{a^2b}{a^2-2ab}\)

\(P=\frac{b\left(a^2-4b^2\right)}{3ab^2}.\frac{a^2b}{a\left(a-2b\right)}\)

\(P=\frac{b\left(a-2b\right)\left(a+2b\right)}{3ab^2}.\frac{a^2b}{a\left(a-2b\right)}\)

\(P=\frac{b\left(a+2b\right)}{3b}.\frac{a}{a}\)

\(P=\frac{a+2b}{3}\)

Answer 2

P=\(\frac{a^2b.b\left(a^2-4b^2\right)}{3ab^2.a\left(a-2b\right)}=\frac{a^2b^2\left(a-2b\right)\left(a+2b\right)}{3a^2b^2\left(a-2b\right)}\)

=> P=\(\frac{a+2b}{3}\)