(3r^2+5t^2)(3r^2-5t^2) eching

$$( 3 r ^ { 2 } + 5 t ^ { 2 } ) ( 3 r ^ { 2 } - 5 t ^ { 2 } )$$

Baholash

$$9r^{4}-25t^{4}$$

Yechim qadamlari

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

$$\left(3r^{2}\right)^{2}-\left(5t^{2}\right)^{2}$$

\left(3r^{2}\right)^{2} ni kengaytirish.

$$3^{2}\left(r^{2}\right)^{2}-\left(5t^{2}\right)^{2}$$

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. 2 va 2 ni ko‘paytirib, 4 ni oling.

$$3^{2}r^{4}-\left(5t^{2}\right)^{2}$$

2 daraja ko‘rsatkichini 3 ga hisoblang va 9 ni qiymatni oling.

$$9r^{4}-\left(5t^{2}\right)^{2}$$

\left(5t^{2}\right)^{2} ni kengaytirish.

$$9r^{4}-5^{2}\left(t^{2}\right)^{2}$$

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. 2 va 2 ni ko‘paytirib, 4 ni oling.

$$9r^{4}-5^{2}t^{4}$$

2 daraja ko‘rsatkichini 5 ga hisoblang va 25 ni qiymatni oling.

$$9r^{4}-25t^{4}$$

Kengaytirish

$$9r^{4}-25t^{4}$$

Yechim qadamlari

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

$$\left(3r^{2}\right)^{2}-\left(5t^{2}\right)^{2}$$

\left(3r^{2}\right)^{2} ni kengaytirish.

$$3^{2}\left(r^{2}\right)^{2}-\left(5t^{2}\right)^{2}$$

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. 2 va 2 ni ko‘paytirib, 4 ni oling.

$$3^{2}r^{4}-\left(5t^{2}\right)^{2}$$

2 daraja ko‘rsatkichini 3 ga hisoblang va 9 ni qiymatni oling.

$$9r^{4}-\left(5t^{2}\right)^{2}$$

\left(5t^{2}\right)^{2} ni kengaytirish.

$$9r^{4}-5^{2}\left(t^{2}\right)^{2}$$

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. 2 va 2 ni ko‘paytirib, 4 ni oling.

$$9r^{4}-5^{2}t^{4}$$

2 daraja ko‘rsatkichini 5 ga hisoblang va 25 ni qiymatni oling.

$$9r^{4}-25t^{4}$$