(x-9+-x^2-25/2x+5)*(2x+5) eching

$$(x-9+ \frac{ - { x }^{ 2 } -25 }{ 2x+5 } ) \times (2x+5)$$

Baholash

$$x^{2}-13x-70$$

Qisqa yechim qadamlari

Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. x-9 ni \frac{2x+5}{2x+5} marotabaga ko'paytirish.

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

\frac{\left(x-9\right)\left(2x+5\right)}{2x+5} va \frac{-x^{2}-25}{2x+5} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

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

\left(x-9\right)\left(2x+5\right)-x^{2}-25 ichidagi ko‘paytirishlarni bajaring.

$$\frac{2x^{2}+5x-18x-45-x^{2}-25}{2x+5}\left(2x+5\right)$$

2x^{2}+5x-18x-45-x^{2}-25 kabi iboralarga o‘xshab birlashtiring.

$$\frac{x^{2}-13x-70}{2x+5}\left(2x+5\right)$$

2x+5 va 2x+5 ni qisqartiring.

$$x^{2}-13x-70$$

Kengaytirish

$$x^{2}-13x-70$$

Qisqa yechim qadamlari

Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. x-9 ni \frac{2x+5}{2x+5} marotabaga ko'paytirish.

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

\frac{\left(x-9\right)\left(2x+5\right)}{2x+5} va \frac{-x^{2}-25}{2x+5} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

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

\left(x-9\right)\left(2x+5\right)-x^{2}-25 ichidagi ko‘paytirishlarni bajaring.

$$\frac{2x^{2}+5x-18x-45-x^{2}-25}{2x+5}\left(2x+5\right)$$

2x^{2}+5x-18x-45-x^{2}-25 kabi iboralarga o‘xshab birlashtiring.

$$\frac{x^{2}-13x-70}{2x+5}\left(2x+5\right)$$

2x+5 va 2x+5 ni qisqartiring.

$$x^{2}-13x-70$$