Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(49-36y^{4}\)
2. \(-256a^2+1\)
3. \(s^2-4\)
4. \(196b^{10}-308b^5s+121s^2\)
5. \(a^{4}-169b^2\)
6. \(196y^{12}-121\)
7. \(s^2-100\)
8. \(36a^{10}-60a^5y+25y^2\)
9. \(225y^{16}-49\)
10. \(256a^{10}-288a^5s+81s^2\)
11. \(25q^2-36p^{10}\)
12. \(y^2-25\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(49-36y^{4}=(7-6y^2)(7+6y^2)\)
2. \(-256a^2+1=(1-16a)(1+16a)\)
3. \(s^2-4=(s+2)(s-2)\)
4. \(196b^{10}-308b^5s+121s^2=(14b^5-11s)^2\)
5. \(a^{4}-169b^2=(a^2+13b)(a^2-13b)\)
6. \(196y^{12}-121=(14y^6+11)(14y^6-11)\)
7. \(s^2-100=(s+10)(s-10)\)
8. \(36a^{10}-60a^5y+25y^2=(6a^5-5y)^2\)
9. \(225y^{16}-49=(15y^8+7)(15y^8-7)\)
10. \(256a^{10}-288a^5s+81s^2=(16a^5-9s)^2\)
11. \(25q^2-36p^{10}=(5q-6p^5)(5q+6p^5)\)
12. \(y^2-25=(y+5)(y-5)\)