Lahenda (2x+y)(2x-y)+(x+y)^2-2(x^2-xy) | Microsofti matemaatika lahendaja

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Viktoriin

Algebra

5 probleemid, mis on sarnased:

Sarnased probleemid veebiotsingust

https://socratic.org/questions/what-is-the-graph-of-the-cartesian-equation-x-2-y-2-2ax-2-4a-2-x-2-y-2

https://socratic.org/questions/how-do-you-implicitly-differentiate-y-x-3y-2-x-2y-3-2xy-4

https://www.quora.com/How-do-I-factorize-this-expression-completely-12x-2-+xy-6y-2+14x+19y-10

https://socratic.org/questions/how-do-you-simplify-2x-2-xy-3y-2-x-2-xy-2y-2

https://socratic.org/questions/how-do-you-find-the-center-and-radius-of-the-circle-x-2-y-2-10x-2y-50-49

https://socratic.org/questions/how-do-you-find-the-center-h-k-and-radius-r-of-the-circle-with-the-given-equatio-2

Jagama

Lõikelauale kopeeritud

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

Mõelge valemile \left(2x+y\right)\left(2x-y\right). Korrutustehte saab ruutude vaheks teisendada järgmise reegli abil: \left(a-b\right)\left(a+b\right)=a^{2}-b^{2}.

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

Laiendage \left(2x\right)^{2}.

4x^{2}-y^{2}+\left(x+y\right)^{2}-2\left(x^{2}-xy\right)

Arvutage 2 aste 2 ja leidke 4.

4x^{2}-y^{2}+x^{2}+2xy+y^{2}-2\left(x^{2}-xy\right)

Kasutage kaksliikme \left(x+y\right)^{2} arendamiseks binoomvalemit \left(a+b\right)^{2}=a^{2}+2ab+b^{2}.

5x^{2}-y^{2}+2xy+y^{2}-2\left(x^{2}-xy\right)

Kombineerige 4x^{2} ja x^{2}, et leida 5x^{2}.

5x^{2}+2xy-2\left(x^{2}-xy\right)

Kombineerige -y^{2} ja y^{2}, et leida 0.

5x^{2}+2xy-2x^{2}+2xy

Kasutage distributiivsusomadust, et korrutada -2 ja x^{2}-xy.

3x^{2}+2xy+2xy

Kombineerige 5x^{2} ja -2x^{2}, et leida 3x^{2}.

3x^{2}+4xy

Kombineerige 2xy ja 2xy, et leida 4xy.