16-25x^2/3x+ydiv4x-5x^2/9x^2-y^2 eching

$$\frac { 16 - 25 x ^ { 2 } } { 3 x + y } \div \frac { 4 x - 5 x ^ { 2 } } { 9 x ^ { 2 } - y ^ { 2 } }$$

Baholash

$$\frac{\left(3x-y\right)\left(5x+4\right)}{x}$$

Qisqa yechim qadamlari

\frac{16-25x^{2}}{3x+y} ni \frac{4x-5x^{2}}{9x^{2}-y^{2}} ga bo'lish \frac{16-25x^{2}}{3x+y} ga k'paytirish \frac{4x-5x^{2}}{9x^{2}-y^{2}} ga qaytarish.

$$\frac{\left(16-25x^{2}\right)\left(9x^{2}-y^{2}\right)}{\left(3x+y\right)\left(4x-5x^{2}\right)}$$

Hali faktorlanmagan ifodalarni faktorlang.

$$\frac{\left(-5x-4\right)\left(5x-4\right)\left(3x+y\right)\left(3x-y\right)}{x\left(-5x+4\right)\left(3x+y\right)}$$

-4+5x mislodagi manfiy ishorani chiqarib tashlang.

$$\frac{-\left(-5x-4\right)\left(-5x+4\right)\left(3x+y\right)\left(3x-y\right)}{x\left(-5x+4\right)\left(3x+y\right)}$$

Surat va maxrajdagi ikkala \left(-5x+4\right)\left(3x+y\right) ni qisqartiring.

$$\frac{-\left(-5x-4\right)\left(3x-y\right)}{x}$$

Ifodani kengaytiring.

$$\frac{15x^{2}-5xy+12x-4y}{x}$$

Kengaytirish

$$15x-5y-\frac{4y}{x}+12$$

Qisqa yechim qadamlari

\frac{16-25x^{2}}{3x+y} ni \frac{4x-5x^{2}}{9x^{2}-y^{2}} ga bo'lish \frac{16-25x^{2}}{3x+y} ga k'paytirish \frac{4x-5x^{2}}{9x^{2}-y^{2}} ga qaytarish.

$$\frac{\left(16-25x^{2}\right)\left(9x^{2}-y^{2}\right)}{\left(3x+y\right)\left(4x-5x^{2}\right)}$$

Hali faktorlanmagan ifodalarni faktorlang.

$$\frac{\left(-5x-4\right)\left(5x-4\right)\left(3x+y\right)\left(3x-y\right)}{x\left(-5x+4\right)\left(3x+y\right)}$$

-4+5x mislodagi manfiy ishorani chiqarib tashlang.

$$\frac{-\left(-5x-4\right)\left(-5x+4\right)\left(3x+y\right)\left(3x-y\right)}{x\left(-5x+4\right)\left(3x+y\right)}$$

Surat va maxrajdagi ikkala \left(-5x+4\right)\left(3x+y\right) ni qisqartiring.

$$\frac{-\left(-5x-4\right)\left(3x-y\right)}{x}$$

Ifodani kengaytiring.

$$\frac{15x^{2}-5xy+12x-4y}{x}$$