Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(144b^{6}+168b^3x+49x^2\)
2. \(p^2+30p+225\)
3. \(b^2-36\)
4. \(225-49b^{14}\)
5. \(a^2-24a+144\)
6. \(225s^{4}-330s^2y+121y^2\)
7. \(25s^2-9b^{12}\)
8. \(169b^{6}+156b^3q+36q^2\)
9. \(81x^2-4q^{4}\)
10. \(9x^2-49b^{4}\)
11. \(144s^{6}-169\)
12. \(100b^2-121\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(144b^{6}+168b^3x+49x^2=(12b^3+7x)^2\)
2. \(p^2+30p+225=(p+15)^2\)
3. \(b^2-36=(b+6)(b-6)\)
4. \(225-49b^{14}=(15-7b^7)(15+7b^7)\)
5. \(a^2-24a+144=(a-12)^2\)
6. \(225s^{4}-330s^2y+121y^2=(15s^2-11y)^2\)
7. \(25s^2-9b^{12}=(5s-3b^6)(5s+3b^6)\)
8. \(169b^{6}+156b^3q+36q^2=(13b^3+6q)^2\)
9. \(81x^2-4q^{4}=(9x-2q^2)(9x+2q^2)\)
10. \(9x^2-49b^{4}=(3x-7b^2)(3x+7b^2)\)
11. \(144s^{6}-169=(12s^3+13)(12s^3-13)\)
12. \(100b^2-121=(10b+11)(10b-11)\)