(sqrt{2}a-3sqrt{b})(sqrt{2}a+3sqrt{b}) eching

$$( \sqrt { 2 } a - 3 \sqrt { b } ) ( \sqrt { 2 } a + 3 \sqrt { b } )$$

Baholash

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

Yechim qadamlari

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

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

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

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

\sqrt{2} kvadrati – 2.

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

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

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

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

$$2a^{2}-9\left(\sqrt{b}\right)^{2}$$

2 daraja ko‘rsatkichini \sqrt{b} ga hisoblang va b ni qiymatni oling.

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

a ga nisbatan hosilani topish

$$4a$$