6a^2-6b^2/b-a3a^+3b^/{a^2+2ab+{b}^2} eching

$$\frac{ 6 { a }^{ 2 } -6 { b }^{ 2 } }{ b-a } \frac{ 3 { a }^{ } +3 { b }^{ } }{ { a }^{ 2 } +2ab+ { b }^{ 2 } }$$

Baholash

$$-18$$

Qisqa yechim qadamlari

\frac{6a^{2}-6b^{2}}{b-a} ichida hali faktorlanmagan ifodalarni faktorlang.

$$\frac{6\left(a+b\right)\left(a-b\right)}{-a+b}\times \frac{3a^{1}+3b^{1}}{a^{2}+2ab+b^{2}}$$

a-b mislodagi manfiy ishorani chiqarib tashlang.

$$\frac{-6\left(a+b\right)\left(-a+b\right)}{-a+b}\times \frac{3a^{1}+3b^{1}}{a^{2}+2ab+b^{2}}$$

Surat va maxrajdagi ikkala -a+b ni qisqartiring.

$$-6\left(a+b\right)\times \frac{3a^{1}+3b^{1}}{a^{2}+2ab+b^{2}}$$

Ifodani kengaytiring.

$$\left(-6a-6b\right)\times \frac{3a^{1}+3b^{1}}{a^{2}+2ab+b^{2}}$$

1 daraja ko‘rsatkichini a ga hisoblang va a ni qiymatni oling.

$$\left(-6a-6b\right)\times \frac{3a+3b^{1}}{a^{2}+2ab+b^{2}}$$

1 daraja ko‘rsatkichini b ga hisoblang va b ni qiymatni oling.

$$\left(-6a-6b\right)\times \frac{3a+3b}{a^{2}+2ab+b^{2}}$$

\frac{3a+3b}{a^{2}+2ab+b^{2}} ichida hali faktorlanmagan ifodalarni faktorlang.

$$\left(-6a-6b\right)\times \frac{3\left(a+b\right)}{\left(a+b\right)^{2}}$$

Surat va maxrajdagi ikkala a+b ni qisqartiring.

$$\left(-6a-6b\right)\times \frac{3}{a+b}$$

\left(-6a-6b\right)\times \frac{3}{a+b} ni yagona kasrga aylantiring.

$$\frac{\left(-6a-6b\right)\times 3}{a+b}$$

Hali faktorlanmagan ifodalarni faktorlang.

$$\frac{3\times 6\left(-a-b\right)}{a+b}$$

-a-b mislodagi manfiy ishorani chiqarib tashlang.

$$\frac{-3\times 6\left(a+b\right)}{a+b}$$

Surat va maxrajdagi ikkala a+b ni qisqartiring.

$$-3\times 6$$

-18 hosil qilish uchun -3 va 6 ni ko'paytirish.

$$-18$$

Omil

$$-18$$