[2ab(-a+b)+6a^2b]:(-2ab)+[2a(a-b)-6ab]:[ax+a(1-x)] eching

$$[ 2 a b ( - a + b ) + 6 a ^ { 2 } b ] : ( - 2 a b ) + [ 2 a ( a - b ) - 6 a b ] : [ a x + a ( 1 - x ) ]$$

Baholash

$$-9b$$

Qisqa yechim qadamlari

\frac{2ab\left(-a+b\right)+6a^{2}b}{-2ab} ichida hali faktorlanmagan ifodalarni faktorlang.

$$\frac{2ab\left(2a+b\right)}{-2ab}+\frac{2a\left(a-b\right)-6ab}{ax+a\left(1-x\right)}$$

Surat va maxrajdagi ikkala 2ab ni qisqartiring.

$$\frac{2a+b}{-1}+\frac{2a\left(a-b\right)-6ab}{ax+a\left(1-x\right)}$$

Istalgan sonni -1 ga boʻlsangiz, uning qarama-qarshisi chiqadi. 2a+b teskarisini topish uchun har birining teskarisini toping.

$$-2a-b+\frac{2a\left(a-b\right)-6ab}{ax+a\left(1-x\right)}$$

Faktor: ax+a\left(1-x\right).

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

Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. -2a-b ni \frac{a}{a} marotabaga ko'paytirish.

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

\frac{\left(-2a-b\right)a}{a} va \frac{2a\left(a-b\right)-6ab}{a} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

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

\left(-2a-b\right)a+2a\left(a-b\right)-6ab ichidagi ko‘paytirishlarni bajaring.

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

-2a^{2}-ba+2a^{2}-2ab-6ab kabi iboralarga o‘xshab birlashtiring.

$$\frac{-9ba}{a}$$

Surat va maxrajdagi ikkala a ni qisqartiring.

$$-9b$$

Kengaytirish

$$-9b$$

Qisqa yechim qadamlari

\frac{2ab\left(-a+b\right)+6a^{2}b}{-2ab} ichida hali faktorlanmagan ifodalarni faktorlang.

$$\frac{2ab\left(2a+b\right)}{-2ab}+\frac{2a\left(a-b\right)-6ab}{ax+a\left(1-x\right)}$$

Surat va maxrajdagi ikkala 2ab ni qisqartiring.

$$\frac{2a+b}{-1}+\frac{2a\left(a-b\right)-6ab}{ax+a\left(1-x\right)}$$

Istalgan sonni -1 ga boʻlsangiz, uning qarama-qarshisi chiqadi. 2a+b teskarisini topish uchun har birining teskarisini toping.

$$-2a-b+\frac{2a\left(a-b\right)-6ab}{ax+a\left(1-x\right)}$$

Faktor: ax+a\left(1-x\right).

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

Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. -2a-b ni \frac{a}{a} marotabaga ko'paytirish.

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

\frac{\left(-2a-b\right)a}{a} va \frac{2a\left(a-b\right)-6ab}{a} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

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

\left(-2a-b\right)a+2a\left(a-b\right)-6ab ichidagi ko‘paytirishlarni bajaring.

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

-2a^{2}-ba+2a^{2}-2ab-6ab kabi iboralarga o‘xshab birlashtiring.

$$\frac{-9ba}{a}$$

Surat va maxrajdagi ikkala a ni qisqartiring.

$$-9b$$