Riješi (2x+y)(2x-y)+(x+y)^2-2(x^2-xy)

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Algebra

5 problemi slični sa:

Slični problemi iz web pretrage

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

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

Razmotrite \left(2x+y\right)\left(2x-y\right). Množenje se može transformirati u razliku kvadrata pomoću pravila: \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)

Proširite \left(2x\right)^{2}.

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

Izračunajte 2 stepen od 2 i dobijte 4.

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

Koristite binomnu teoremu \left(a+b\right)^{2}=a^{2}+2ab+b^{2} da biste proširili \left(x+y\right)^{2}.

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

Kombinirajte 4x^{2} i x^{2} da biste dobili 5x^{2}.

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

Kombinirajte -y^{2} i y^{2} da biste dobili 0.

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

Koristite distributivno svojstvo da biste pomnožili -2 sa x^{2}-xy.

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

Kombinirajte 5x^{2} i -2x^{2} da biste dobili 3x^{2}.

3x^{2}+4xy

Kombinirajte 2xy i 2xy da biste dobili 4xy.