(5a^2+3b)(5a^2-3b) eching

$$( 5 a ^ { 2 } + 3 b ) ( 5 a ^ { 2 } - 3 b )$$

Baholash

$$25a^{4}-9b^{2}$$

Yechim qadamlari

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

$$\left(5a^{2}\right)^{2}-\left(3b\right)^{2}$$

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

$$5^{2}\left(a^{2}\right)^{2}-\left(3b\right)^{2}$$

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

$$5^{2}a^{4}-\left(3b\right)^{2}$$

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

$$25a^{4}-\left(3b\right)^{2}$$

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

$$25a^{4}-3^{2}b^{2}$$

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

$$25a^{4}-9b^{2}$$

Kengaytirish

$$25a^{4}-9b^{2}$$

Yechim qadamlari

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

$$\left(5a^{2}\right)^{2}-\left(3b\right)^{2}$$

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

$$5^{2}\left(a^{2}\right)^{2}-\left(3b\right)^{2}$$

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

$$5^{2}a^{4}-\left(3b\right)^{2}$$

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

$$25a^{4}-\left(3b\right)^{2}$$

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

$$25a^{4}-3^{2}b^{2}$$

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

$$25a^{4}-9b^{2}$$