u^2-v^2/(u+v)^2/frac{4u-4v{3(u+v)}}= eching

$$\frac { \frac { u ^ { 2 } - v ^ { 2 } } { ( u + v ) ^ { 2 } } } { \frac { 4 u - 4 v } { 3 ( u + v ) } } =$$

Baholash

$$\frac{3}{4}=0,75$$

Qisqa yechim qadamlari

\frac{u^{2}-v^{2}}{\left(u+v\right)^{2}} ni \frac{4u-4v}{3\left(u+v\right)} ga bo'lish \frac{u^{2}-v^{2}}{\left(u+v\right)^{2}} ga k'paytirish \frac{4u-4v}{3\left(u+v\right)} ga qaytarish.

$$\frac{\left(u^{2}-v^{2}\right)\times 3\left(u+v\right)}{\left(u+v\right)^{2}\left(4u-4v\right)}$$

Surat va maxrajdagi ikkala u+v ni qisqartiring.

$$\frac{3\left(u^{2}-v^{2}\right)}{\left(u+v\right)\left(4u-4v\right)}$$

Hali faktorlanmagan ifodalarni faktorlang.

$$\frac{3\left(u+v\right)\left(u-v\right)}{4\left(u+v\right)\left(u-v\right)}$$

Surat va maxrajdagi ikkala \left(u+v\right)\left(u-v\right) ni qisqartiring.

$$\frac{3}{4}$$

Omil

$$\frac{3}{2 ^ {2}} = 0,75$$