a^2-b^2/4a^2+12abdiva-b/a+3b eching

$$\frac { a ^ { 2 } - b ^ { 2 } } { 4 a ^ { 2 } + 12 a b } \div \frac { a - b } { a + 3 b }$$

Baholash

$$\frac{a+b}{4a}$$

Qisqa yechim qadamlari

\frac{a^{2}-b^{2}}{4a^{2}+12ab} ni \frac{a-b}{a+3b} ga bo'lish \frac{a^{2}-b^{2}}{4a^{2}+12ab} ga k'paytirish \frac{a-b}{a+3b} ga qaytarish.

$$\frac{\left(a^{2}-b^{2}\right)\left(a+3b\right)}{\left(4a^{2}+12ab\right)\left(a-b\right)}$$

Hali faktorlanmagan ifodalarni faktorlang.

$$\frac{\left(a+b\right)\left(a-b\right)\left(a+3b\right)}{4a\left(a-b\right)\left(a+3b\right)}$$

Surat va maxrajdagi ikkala \left(a-b\right)\left(a+3b\right) ni qisqartiring.

$$\frac{a+b}{4a}$$

Kengaytirish

$$\frac{a+b}{4a}$$

Qisqa yechim qadamlari

\frac{a^{2}-b^{2}}{4a^{2}+12ab} ni \frac{a-b}{a+3b} ga bo'lish \frac{a^{2}-b^{2}}{4a^{2}+12ab} ga k'paytirish \frac{a-b}{a+3b} ga qaytarish.

$$\frac{\left(a^{2}-b^{2}\right)\left(a+3b\right)}{\left(4a^{2}+12ab\right)\left(a-b\right)}$$

Hali faktorlanmagan ifodalarni faktorlang.

$$\frac{\left(a+b\right)\left(a-b\right)\left(a+3b\right)}{4a\left(a-b\right)\left(a+3b\right)}$$

Surat va maxrajdagi ikkala \left(a-b\right)\left(a+3b\right) ni qisqartiring.

$$\frac{a+b}{4a}$$