(11r+4si)(11r-4si) eching

$$( 11 r + 4 s i ) ( 11 r - 4 s i )$$

Baholash

$$121r^{2}+16s^{2}$$

Yechim qadamlari

4i hosil qilish uchun 4 va i ni ko'paytirish.

$$\left(11r+4is\right)\left(11r-4si\right)$$

4i hosil qilish uchun 4 va i ni ko'paytirish.

$$\left(11r+4is\right)\left(11r-4is\right)$$

Ko‘paytirish qoida yordamida turli kvadratlarga aylantirilishi mumkin: \left(a-b\right)\left(a+b\right)=a^{2}-b^{2}.

$$\left(11r\right)^{2}-\left(4is\right)^{2}$$

\left(11r\right)^{2} ni kengaytirish.

$$11^{2}r^{2}-\left(4is\right)^{2}$$

2 daraja ko‘rsatkichini 11 ga hisoblang va 121 ni qiymatni oling.

$$121r^{2}-\left(4is\right)^{2}$$

\left(4is\right)^{2} ni kengaytirish.

$$121r^{2}-\left(4i\right)^{2}s^{2}$$

2 daraja ko‘rsatkichini 4i ga hisoblang va -16 ni qiymatni oling.

$$121r^{2}-\left(-16s^{2}\right)$$

-16s^{2} ning teskarisi 16s^{2} ga teng.

$$121r^{2}+16s^{2}$$

Kengaytirish

$$121r^{2}+16s^{2}$$

Yechim qadamlari

4i hosil qilish uchun 4 va i ni ko'paytirish.

$$\left(11r+4is\right)\left(11r-4si\right)$$

4i hosil qilish uchun 4 va i ni ko'paytirish.

$$\left(11r+4is\right)\left(11r-4is\right)$$

Ko‘paytirish qoida yordamida turli kvadratlarga aylantirilishi mumkin: \left(a-b\right)\left(a+b\right)=a^{2}-b^{2}.

$$\left(11r\right)^{2}-\left(4is\right)^{2}$$

\left(11r\right)^{2} ni kengaytirish.

$$11^{2}r^{2}-\left(4is\right)^{2}$$

2 daraja ko‘rsatkichini 11 ga hisoblang va 121 ni qiymatni oling.

$$121r^{2}-\left(4is\right)^{2}$$

\left(4is\right)^{2} ni kengaytirish.

$$121r^{2}-\left(4i\right)^{2}s^{2}$$

2 daraja ko‘rsatkichini 4i ga hisoblang va -16 ni qiymatni oling.

$$121r^{2}-\left(-16s^{2}\right)$$

-16s^{2} ning teskarisi 16s^{2} ga teng.

$$121r^{2}+16s^{2}$$