16a^2-9(a-b)^2 eching

$$16 a ^ { 2 } - 9 ( a - b ) ^ { 2 }$$

Baholash

$$\left(7a-3b\right)\left(a+3b\right)$$

Yechim qadamlari

\left(p-q\right)^{2}=p^{2}-2pq+q^{2} binom teoremasini \left(a-b\right)^{2} kengaytirilishi uchun ishlating.

$$16a^{2}-9\left(a^{2}-2ab+b^{2}\right)$$

-9 ga a^{2}-2ab+b^{2} ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$16a^{2}-9a^{2}+18ab-9b^{2}$$

7a^{2} ni olish uchun 16a^{2} va -9a^{2} ni birlashtirish.

$$7a^{2}+18ab-9b^{2}$$

Kengaytirish

$$7a^{2}+18ab-9b^{2}$$

Yechim qadamlari

\left(p-q\right)^{2}=p^{2}-2pq+q^{2} binom teoremasini \left(a-b\right)^{2} kengaytirilishi uchun ishlating.

$$16a^{2}-9\left(a^{2}-2ab+b^{2}\right)$$

-9 ga a^{2}-2ab+b^{2} ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$16a^{2}-9a^{2}+18ab-9b^{2}$$

7a^{2} ni olish uchun 16a^{2} va -9a^{2} ni birlashtirish.

$$7a^{2}+18ab-9b^{2}$$