Resolver 3a^2-7b^2-9a^3+21ab^2

$$3 a ^ { 2 } - 7 b ^ { 2 } - 9 a ^ { 3 } + 21 a b ^ { 2 }$$

Faktorizatu

$$\left(1-3a\right)\left(3a^{2}-7b^{2}\right)$$

Ebazpidea

Egin 3a^{2}-7b^{2}-9a^{3}+21ab^{2}=\left(3a^{2}-7b^{2}\right)+\left(-9a^{3}+21ab^{2}\right) taldea, eta deskonposatu -3a-9a^{3}+21ab^{2} taldean.

$$3a^{2}-7b^{2}-3a\left(3a^{2}-7b^{2}\right)$$

Deskonposatu 3a^{2}-7b^{2} gai arrunta banaketa-propietatea erabiliz.

$$\left(3a^{2}-7b^{2}\right)\left(1-3a\right)$$

Ebaluatu

$$\left(1-3a\right)\left(3a^{2}-7b^{2}\right)$$