Question

\(\left(a-b\right)\sqrt{\dfrac{a^{^2}b^2}{\left(a-b\right)^2}}\)

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Answer 1

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Answer 2

\(\left(a-b\right)\sqrt{\dfrac{a^2b^2}{\left(a-b\right)^2}}=\left(a-b\right)\sqrt{\dfrac{\left(ab\right)^2}{\left(a-b\right)^2}}=\left(a-b\right).\dfrac{\left|ab\right|}{\left|a-b\right|}\)(1)

Nếu a≥b thì (1)\(=\dfrac{\left(a-b\right)\left|ab\right|}{\left(a-b\right)}=\left|ab\right|\)

Nếu a<b thì (1)\(=\dfrac{\left(a-b\right)\left|ab\right|}{-\left(a-b\right)}=-\left|ab\right|\)