miniaufgabe.js
==== Montag 11. Mai 2026 ====
=== Faktorisieren basics ===
Faktorisieren:miniAufgabe("#exofaktorisieren_basic_und_mehr","#solfaktorisieren_basic_und_mehr",
[['a) $\\quad$ $x^{2}-6x-72$ $\\quad\\quad$ b) $\\quad$ $-3x^{4}y-24x^{3}y+252x^{2}y$', 'a) $\\quad$ $\\left(x-12\\right) \\cdot \\left(x+6\\right)$ $\\quad\\quad$ b) $\\quad$ $-3x^{2}y \\cdot \\left(x^{2}+8x-84\\right) = -3x^{2}y \\cdot \\left(\\left(x+14\\right) \\cdot \\left(x-6\\right)\\right)$'], ['a) $\\quad$ $x^{2}+24x+128$ $\\quad\\quad$ b) $\\quad$ $-5x^{4}y^{3}-110x^{3}y^{3}-480x^{2}y^{3}$', 'a) $\\quad$ $\\left(x+16\\right) \\cdot \\left(x+8\\right)$ $\\quad\\quad$ b) $\\quad$ $-5x^{2}y^{3} \\cdot \\left(x^{2}+22x+96\\right) = -5x^{2}y^{3} \\cdot \\left(\\left(x+16\\right) \\cdot \\left(x+6\\right)\\right)$'], ['a) $\\quad$ $x^{2}+22x+120$ $\\quad\\quad$ b) $\\quad$ $-3x^{4}y^{3}-9x^{3}y^{3}+210x^{2}y^{3}$', 'a) $\\quad$ $\\left(x+12\\right) \\cdot \\left(x+10\\right)$ $\\quad\\quad$ b) $\\quad$ $-3x^{2}y^{3} \\cdot \\left(x^{2}+3x-70\\right) = -3x^{2}y^{3} \\cdot \\left(\\left(x+10\\right) \\cdot \\left(x-7\\right)\\right)$'], ['a) $\\quad$ $x^{2}-x-132$ $\\quad\\quad$ b) $\\quad$ $-5x^{3}y^{2}+100x^{2}y^{2}-375xy^{2}$', 'a) $\\quad$ $\\left(x-12\\right) \\cdot \\left(x+11\\right)$ $\\quad\\quad$ b) $\\quad$ $-5xy^{2} \\cdot \\left(x^{2}-20x+75\\right) = -5xy^{2} \\cdot \\left(\\left(x-15\\right) \\cdot \\left(x-5\\right)\\right)$'], ['a) $\\quad$ $x^{2}+4x-96$ $\\quad\\quad$ b) $\\quad$ $-4x^{3}y^{2}-84x^{2}y^{2}-360xy^{2}$', 'a) $\\quad$ $\\left(x+12\\right) \\cdot \\left(x-8\\right)$ $\\quad\\quad$ b) $\\quad$ $-4xy^{2} \\cdot \\left(x^{2}+21x+90\\right) = -4xy^{2} \\cdot \\left(\\left(x+15\\right) \\cdot \\left(x+6\\right)\\right)$'], ['a) $\\quad$ $x^{2}-16x+63$ $\\quad\\quad$ b) $\\quad$ $-4x^{4}y^{3}+84x^{3}y^{3}-320x^{2}y^{3}$', 'a) $\\quad$ $\\left(x-9\\right) \\cdot \\left(x-7\\right)$ $\\quad\\quad$ b) $\\quad$ $-4x^{2}y^{3} \\cdot \\left(x^{2}-21x+80\\right) = -4x^{2}y^{3} \\cdot \\left(\\left(x-16\\right) \\cdot \\left(x-5\\right)\\right)$'], ['a) $\\quad$ $x^{2}+9x-112$ $\\quad\\quad$ b) $\\quad$ $-3x^{4}y+60x^{3}y-225x^{2}y$', 'a) $\\quad$ $\\left(x+16\\right) \\cdot \\left(x-7\\right)$ $\\quad\\quad$ b) $\\quad$ $-3x^{2}y \\cdot \\left(x^{2}-20x+75\\right) = -3x^{2}y \\cdot \\left(\\left(x-15\\right) \\cdot \\left(x-5\\right)\\right)$'], ['a) $\\quad$ $x^{2}-3x-88$ $\\quad\\quad$ b) $\\quad$ $-5x^{3}y^{3}+85x^{2}y^{3}-350xy^{3}$', 'a) $\\quad$ $\\left(x-11\\right) \\cdot \\left(x+8\\right)$ $\\quad\\quad$ b) $\\quad$ $-5xy^{3} \\cdot \\left(x^{2}-17x+70\\right) = -5xy^{3} \\cdot \\left(\\left(x-10\\right) \\cdot \\left(x-7\\right)\\right)$'], ['a) $\\quad$ $x^{2}-2x-99$ $\\quad\\quad$ b) $\\quad$ $-3x^{3}y^{2}-69x^{2}y^{2}-390xy^{2}$', 'a) $\\quad$ $\\left(x-11\\right) \\cdot \\left(x+9\\right)$ $\\quad\\quad$ b) $\\quad$ $-3xy^{2} \\cdot \\left(x^{2}+23x+130\\right) = -3xy^{2} \\cdot \\left(\\left(x+13\\right) \\cdot \\left(x+10\\right)\\right)$'], ['a) $\\quad$ $x^{2}+22x+117$ $\\quad\\quad$ b) $\\quad$ $-5x^{4}y^{2}+95x^{3}y^{2}-390x^{2}y^{2}$', 'a) $\\quad$ $\\left(x+13\\right) \\cdot \\left(x+9\\right)$ $\\quad\\quad$ b) $\\quad$ $-5x^{2}y^{2} \\cdot \\left(x^{2}-19x+78\\right) = -5x^{2}y^{2} \\cdot \\left(\\left(x-13\\right) \\cdot \\left(x-6\\right)\\right)$']],
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python /home/ivo/burggraben/git/ivo/math/miniaufgaben/faktorisieren.py 4
=== Ausquadrarieren und Faktorisierung ===
Ausquadrieren, zusammenfassen, faktorisieren:miniAufgabe("#exofaktorisieren_ausquadrieren","#solfaktorisieren_ausquadrieren",
[['$\\left(x-9\\right)^{2}-1$', '$x^{2}-18x+81-1 = x^{2}-18x+80= \\left(x-10\\right) \\cdot \\left(x-8\\right)$'], ['$\\left(x-1\\right)^{2}-81$', '$x^{2}-2x+1-81 = x^{2}-2x-80= \\left(x-10\\right) \\cdot \\left(x+8\\right)$'], ['$\\left(x+3\\right)^{2}-100$', '$x^{2}+6x+9-100 = x^{2}+6x-91= \\left(x+13\\right) \\cdot \\left(x-7\\right)$'], ['$\\left(x+5\\right)^{2}-100$', '$x^{2}+10x+25-100 = x^{2}+10x-75= \\left(x+15\\right) \\cdot \\left(x-5\\right)$'], ['$\\left(x-2\\right)^{2}-121$', '$x^{2}-4x+4-121 = x^{2}-4x-117= \\left(x-13\\right) \\cdot \\left(x+9\\right)$'], ['$\\left(x-3\\right)^{2}-100$', '$x^{2}-6x+9-100 = x^{2}-6x-91= \\left(x-13\\right) \\cdot \\left(x+7\\right)$'], ['$\\left(x-12\\right)^{2}-9$', '$x^{2}-24x+144-9 = x^{2}-24x+135= \\left(x-15\\right) \\cdot \\left(x-9\\right)$'], ['$\\left(x-10\\right)^{2}-1$', '$x^{2}-20x+100-1 = x^{2}-20x+99= \\left(x-11\\right) \\cdot \\left(x-9\\right)$'], ['$\\left(x+3\\right)^{2}-100$', '$x^{2}+6x+9-100 = x^{2}+6x-91= \\left(x+13\\right) \\cdot \\left(x-7\\right)$'], ['$\\left(x+11\\right)^{2}-16$', '$x^{2}+22x+121-16 = x^{2}+22x+105= \\left(x+15\\right) \\cdot \\left(x+7\\right)$']],
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python /home/ivo/burggraben/git/ivo/math/miniaufgaben/faktorisieren.py 3