Kalkulator Aljabar

Kalkulator ini menyelesaikan banyak masalah aljabar dengan menampilkan langkah-langkahnya. Menemukan gradien dan persamaan garis, melengkapkan kuadrat, melakukan pembagian sintetis dan dekomposisi pecahan parsial, melakukan operasi pada pecahan dan polinom, menangani barisan aritmetika/geometri, dan masih banyak lagi.

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Tautan permanen: Kalkulator Perkalian Polinom

Solution

Your input: multiply $$$2 x^{2} - 4 x + 2$$$ by $$$2 x^{2} - 4 x + 2$$$.

To multiply polynomials, multiply each term of the first polynomial by every term of the second polynomial. Then simplify the products and add them. Finally, simplify further if possible.

So, perform the first step:

$$$\left(\color{Green}{2 x^{2}}\color{DarkMagenta}{- 4 x}+\color{DarkCyan}{2}\right) \cdot \left(\color{Purple}{2 x^{2}}\color{Magenta}{- 4 x}+\color{Red}{2}\right)=$$$

$$$=\left(\color{Green}{2 x^{2}}\right)\cdot \left(\color{Purple}{2 x^{2}}\right)+\left(\color{Green}{2 x^{2}}\right)\cdot \left(\color{Magenta}{- 4 x}\right)+\left(\color{Green}{2 x^{2}}\right)\cdot \left(\color{Red}{2}\right)+$$$

$$$+\left(\color{DarkMagenta}{- 4 x}\right)\cdot \left(\color{Purple}{2 x^{2}}\right)+\left(\color{DarkMagenta}{- 4 x}\right)\cdot \left(\color{Magenta}{- 4 x}\right)+\left(\color{DarkMagenta}{- 4 x}\right)\cdot \left(\color{Red}{2}\right)+$$$

$$$+\left(\color{DarkCyan}{2}\right)\cdot \left(\color{Purple}{2 x^{2}}\right)+\left(\color{DarkCyan}{2}\right)\cdot \left(\color{Magenta}{- 4 x}\right)+\left(\color{DarkCyan}{2}\right)\cdot \left(\color{Red}{2}\right)=$$$

Simplify the products:

$$$=4 x^{4}- 8 x^{3}+4 x^{2}+$$$

$$$- 8 x^{3}+16 x^{2}- 8 x+$$$

$$$+4 x^{2}- 8 x+4=$$$

Simplify further:

$$$=4 x^{4} - 16 x^{3} + 24 x^{2} - 16 x + 4$$$

Answer: $$$\left(2 x^{2} - 4 x + 2\right)\cdot \left(2 x^{2} - 4 x + 2\right)=4 x^{4} - 16 x^{3} + 24 x^{2} - 16 x + 4$$$.

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Kalkulator Aljabar

Selesaikan soal aljabar langkah demi langkah

Solution