Question

\(\left(2+\dfrac{3}{2}\right)^2:\left(2-\dfrac{1}{2}\right)^2\)

help me !

Answer 1

= \(\left(2+\dfrac{3}{2^{ }}\right)^2\) : \(\left(2+\dfrac{\left(-1\right)}{2}\right)^2\)

= \(\left(\dfrac{2+3}{2^{ }}^{ }\right)^2\): \(\left(\dfrac{2+\left(-1\right)}{2}\right)^2\)

= \(\left(\dfrac{5}{2}\right)^2\): \(\left(\dfrac{1}{2^{ }}^{ }\right)^2\)

= \(\left(\dfrac{5.5}{2.2}\right):\left(\dfrac{1.1}{2.2}\right)\)

= \(\dfrac{25}{4}:\dfrac{1}{4}\)

= \(\dfrac{25}{4}.\dfrac{4}{1}\)

= \(\dfrac{25.4}{4.1}\)

= \(\dfrac{25}{1}=25\)

- Chúc bạn học tốt <3

Answer 2

( 2+ \(\dfrac{3}{2}\))\(^2\) : ( 2 - \(\dfrac{1}{2}\))\(^2\)

=\(\left(\dfrac{8}{3}\right)^2\) : \(\left(\dfrac{3}{2}\right)^2\)

= \(\dfrac{64}{9}\) : \(\dfrac{9}{4}\)= \(\dfrac{64}{9}\) . \(\dfrac{4}{9}\)

= \(\dfrac{256}{81}\)

tick nha