Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(y^2-144\)
2. \(196-121s^{6}\)
3. \(25s^{4}+70s^2+49\)
4. \(169s^{8}-156s^4+36\)
5. \(9q^2-30q+25\)
6. \(36p^2-121\)
7. \(p^2-36\)
8. \(s^2+14s+49\)
9. \(b^2-100\)
10. \(4-81x^{14}\)
11. \(49y^2-a^{6}\)
12. \(121y^2-144s^{12}\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(y^2-144=(y-12)(y+12)\)
2. \(196-121s^{6}=(14-11s^3)(14+11s^3)\)
3. \(25s^{4}+70s^2+49=(5s^2+7)^2\)
4. \(169s^{8}-156s^4+36=(13s^4-6)^2\)
5. \(9q^2-30q+25=(3q-5)^2\)
6. \(36p^2-121=(6p+11)(6p-11)\)
7. \(p^2-36=(p-6)(p+6)\)
8. \(s^2+14s+49=(s+7)^2\)
9. \(b^2-100=(b-10)(b+10)\)
10. \(4-81x^{14}=(2-9x^7)(2+9x^7)\)
11. \(49y^2-a^{6}=(7y-a^3)(7y+a^3)\)
12. \(121y^2-144s^{12}=(11y-12s^6)(11y+12s^6)\)