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\left(\frac{5\times 2x}{15}+\frac{3\times 4x}{15}\right)^{2}
Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. 3 va 5 ning eng kichik umumiy karralisi 15. \frac{2x}{3} ni \frac{5}{5} marotabaga ko'paytirish. \frac{4x}{5} ni \frac{3}{3} marotabaga ko'paytirish.
\left(\frac{5\times 2x+3\times 4x}{15}\right)^{2}
\frac{5\times 2x}{15} va \frac{3\times 4x}{15} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.
\left(\frac{10x+12x}{15}\right)^{2}
5\times 2x+3\times 4x ichidagi ko‘paytirishlarni bajaring.
\left(\frac{22x}{15}\right)^{2}
10x+12x kabi iboralarga o‘xshab birlashtiring.
\frac{\left(22x\right)^{2}}{15^{2}}
\frac{22x}{15}ni darajaga oshirish uchun, surat va maxrajni darajaga oshirib, keyin bo‘ling.
\frac{22^{2}x^{2}}{15^{2}}
\left(22x\right)^{2} ni kengaytirish.
\frac{484x^{2}}{15^{2}}
2 daraja ko‘rsatkichini 22 ga hisoblang va 484 ni qiymatni oling.
\frac{484x^{2}}{225}
2 daraja ko‘rsatkichini 15 ga hisoblang va 225 ni qiymatni oling.
\left(\frac{5\times 2x}{15}+\frac{3\times 4x}{15}\right)^{2}
Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. 3 va 5 ning eng kichik umumiy karralisi 15. \frac{2x}{3} ni \frac{5}{5} marotabaga ko'paytirish. \frac{4x}{5} ni \frac{3}{3} marotabaga ko'paytirish.
\left(\frac{5\times 2x+3\times 4x}{15}\right)^{2}
\frac{5\times 2x}{15} va \frac{3\times 4x}{15} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.
\left(\frac{10x+12x}{15}\right)^{2}
5\times 2x+3\times 4x ichidagi ko‘paytirishlarni bajaring.
\left(\frac{22x}{15}\right)^{2}
10x+12x kabi iboralarga o‘xshab birlashtiring.
\frac{\left(22x\right)^{2}}{15^{2}}
\frac{22x}{15}ni darajaga oshirish uchun, surat va maxrajni darajaga oshirib, keyin bo‘ling.
\frac{22^{2}x^{2}}{15^{2}}
\left(22x\right)^{2} ni kengaytirish.
\frac{484x^{2}}{15^{2}}
2 daraja ko‘rsatkichini 22 ga hisoblang va 484 ni qiymatni oling.
\frac{484x^{2}}{225}
2 daraja ko‘rsatkichini 15 ga hisoblang va 225 ni qiymatni oling.