Algebra Beispiele

${(x - 3)}^{2} {(2 x + 1)}^{3} + {(x - 3)}^{3} {(2 x + 1)}^{2}$

Schritt 1

Faktorisiere ${(x - 3)}^{2} {(2 x + 1)}^{2}$ aus ${(x - 3)}^{2} {(2 x + 1)}^{3} + {(x - 3)}^{3} {(2 x + 1)}^{2}$ heraus.

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Schritt 1.1

Faktorisiere ${(x - 3)}^{2} {(2 x + 1)}^{2}$ aus ${(x - 3)}^{2} {(2 x + 1)}^{3}$ heraus.

${(x - 3)}^{2} {(2 x + 1)}^{2} (2 x + 1) + {(x - 3)}^{3} {(2 x + 1)}^{2}$

Schritt 1.2

Faktorisiere ${(x - 3)}^{2} {(2 x + 1)}^{2}$ aus ${(x - 3)}^{3} {(2 x + 1)}^{2}$ heraus.

${(x - 3)}^{2} {(2 x + 1)}^{2} (2 x + 1) + {(x - 3)}^{2} {(2 x + 1)}^{2} (x - 3)$

Schritt 1.3

Faktorisiere ${(x - 3)}^{2} {(2 x + 1)}^{2}$ aus ${(x - 3)}^{2} {(2 x + 1)}^{2} (2 x + 1) + {(x - 3)}^{2} {(2 x + 1)}^{2} (x - 3)$ heraus.

${(x - 3)}^{2} {(2 x + 1)}^{2} (2 x + 1 + x - 3)$

Schritt 2

Addiere $2 x$ und $x$ .

${(x - 3)}^{2} {(2 x + 1)}^{2} (3 x + 1 - 3)$

Schritt 3

Subtrahiere $3$ von $1$ .

${(x - 3)}^{2} {(2 x + 1)}^{2} (3 x - 2)$