Resolver (3x+y)(3x-y)+(x-y)(x+y)

$$( 3 x + y ) ( 3 x - y ) + ( x - y ) ( x + y )$$

Ebaluatu

$$10x^{2}-2y^{2}$$

Ebazpidea

Kasurako: \left(3x+y\right)\left(3x-y\right). Biderketa karratuen desberdintasun bihur daiteke arau hau erabilita: \left(a-b\right)\left(a+b\right)=a^{2}-b^{2}.

$$\left(3x\right)^{2}-y^{2}+\left(x-y\right)\left(x+y\right)$$

Garatu \left(3x\right)^{2}.

$$3^{2}x^{2}-y^{2}+\left(x-y\right)\left(x+y\right)$$

9 lortzeko, egin 3 ber 2.

$$9x^{2}-y^{2}+\left(x-y\right)\left(x+y\right)$$

Kasurako: \left(x-y\right)\left(x+y\right). Biderketa karratuen desberdintasun bihur daiteke arau hau erabilita: \left(a-b\right)\left(a+b\right)=a^{2}-b^{2}.

$$9x^{2}-y^{2}+x^{2}-y^{2}$$

10x^{2} lortzeko, konbinatu 9x^{2} eta x^{2}.

$$10x^{2}-y^{2}-y^{2}$$

-2y^{2} lortzeko, konbinatu -y^{2} eta -y^{2}.

$$10x^{2}-2y^{2}$$

Zabaldu

$$10x^{2}-2y^{2}$$

Ebazpidea

Kasurako: \left(3x+y\right)\left(3x-y\right). Biderketa karratuen desberdintasun bihur daiteke arau hau erabilita: \left(a-b\right)\left(a+b\right)=a^{2}-b^{2}.

$$\left(3x\right)^{2}-y^{2}+\left(x-y\right)\left(x+y\right)$$

Garatu \left(3x\right)^{2}.

$$3^{2}x^{2}-y^{2}+\left(x-y\right)\left(x+y\right)$$

9 lortzeko, egin 3 ber 2.

$$9x^{2}-y^{2}+\left(x-y\right)\left(x+y\right)$$

Kasurako: \left(x-y\right)\left(x+y\right). Biderketa karratuen desberdintasun bihur daiteke arau hau erabilita: \left(a-b\right)\left(a+b\right)=a^{2}-b^{2}.

$$9x^{2}-y^{2}+x^{2}-y^{2}$$

10x^{2} lortzeko, konbinatu 9x^{2} eta x^{2}.

$$10x^{2}-y^{2}-y^{2}$$

-2y^{2} lortzeko, konbinatu -y^{2} eta -y^{2}.

$$10x^{2}-2y^{2}$$