Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(9y^{4}-48y^2+64\)
2. \(121a^{12}-25q^2\)
3. \(121a^2+22a+1\)
4. \(25b^2+110b+121\)
5. \(4y^2-9x^{12}\)
6. \(a^2-8a+16\)
7. \(225q^{14}-16y^2\)
8. \(64q^2-1\)
9. \(x^2-4\)
10. \(81y^{4}-196\)
11. \(y^2-9\)
12. \(p^2-36\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(9y^{4}-48y^2+64=(3y^2-8)^2\)
2. \(121a^{12}-25q^2=(11a^6+5q)(11a^6-5q)\)
3. \(121a^2+22a+1=(11a+1)^2\)
4. \(25b^2+110b+121=(5b+11)^2\)
5. \(4y^2-9x^{12}=(2y-3x^6)(2y+3x^6)\)
6. \(a^2-8a+16=(a-4)^2\)
7. \(225q^{14}-16y^2=(15q^7+4y)(15q^7-4y)\)
8. \(64q^2-1=(8q+1)(8q-1)\)
9. \(x^2-4=(x+2)(x-2)\)
10. \(81y^{4}-196=(9y^2+14)(9y^2-14)\)
11. \(y^2-9=(y-3)(y+3)\)
12. \(p^2-36=(p-6)(p+6)\)