4x^2+6x/1-5x*10x^2+13x-3/6x-4x^2 eching

$$\frac { 4 x ^ { 2 } + 6 x } { 1 - 5 x } \times \frac { 10 x ^ { 2 } + 13 x - 3 } { 6 x - 4 x ^ { 2 } }$$

Baholash

$$-\frac{\left(2x+3\right)^{2}}{3-2x}$$

Qisqa yechim qadamlari

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{4x^{2}+6x}{1-5x} ni \frac{10x^{2}+13x-3}{6x-4x^{2}} ga ko‘paytiring.

$$\frac{\left(4x^{2}+6x\right)\left(10x^{2}+13x-3\right)}{\left(1-5x\right)\left(6x-4x^{2}\right)}$$

Hali faktorlanmagan ifodalarni faktorlang.

$$\frac{2x\left(5x-1\right)\left(2x+3\right)^{2}}{2x\left(-5x+1\right)\left(-2x+3\right)}$$

-1+5x mislodagi manfiy ishorani chiqarib tashlang.

$$\frac{-2x\left(-5x+1\right)\left(2x+3\right)^{2}}{2x\left(-5x+1\right)\left(-2x+3\right)}$$

Surat va maxrajdagi ikkala 2x\left(-5x+1\right) ni qisqartiring.

$$\frac{-\left(2x+3\right)^{2}}{-2x+3}$$

Ifodani kengaytiring.

$$\frac{-4x^{2}-12x-9}{-2x+3}$$

Kengaytirish

$$\frac{4x^{2}+12x+9}{2x-3}$$

Qisqa yechim qadamlari

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{4x^{2}+6x}{1-5x} ni \frac{10x^{2}+13x-3}{6x-4x^{2}} ga ko‘paytiring.

$$\frac{\left(4x^{2}+6x\right)\left(10x^{2}+13x-3\right)}{\left(1-5x\right)\left(6x-4x^{2}\right)}$$

Hali faktorlanmagan ifodalarni faktorlang.

$$\frac{2x\left(5x-1\right)\left(2x+3\right)^{2}}{2x\left(-5x+1\right)\left(-2x+3\right)}$$

-1+5x mislodagi manfiy ishorani chiqarib tashlang.

$$\frac{-2x\left(-5x+1\right)\left(2x+3\right)^{2}}{2x\left(-5x+1\right)\left(-2x+3\right)}$$

Surat va maxrajdagi ikkala 2x\left(-5x+1\right) ni qisqartiring.

$$\frac{-\left(2x+3\right)^{2}}{-2x+3}$$

Ifodani kengaytiring.

$$\frac{-4x^{2}-12x-9}{-2x+3}$$