Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(196y^{16}-1\)
2. \(s^2-30s+225\)
3. \(81y^{6}-36y^3+4\)
4. \(p^2-9\)
5. \(16s^{4}-169y^2\)
6. \(p^2+12p+36\)
7. \(a^2-10a+25\)
8. \(49p^2-64b^{8}\)
9. \(y^2-169\)
10. \(b^2-16\)
11. \(a^2-121\)
12. \(s^2+26s+169\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(196y^{16}-1=(14y^8+1)(14y^8-1)\)
2. \(s^2-30s+225=(s-15)^2\)
3. \(81y^{6}-36y^3+4=(9y^3-2)^2\)
4. \(p^2-9=(p+3)(p-3)\)
5. \(16s^{4}-169y^2=(4s^2+13y)(4s^2-13y)\)
6. \(p^2+12p+36=(p+6)^2\)
7. \(a^2-10a+25=(a-5)^2\)
8. \(49p^2-64b^{8}=(7p-8b^4)(7p+8b^4)\)
9. \(y^2-169=(y+13)(y-13)\)
10. \(b^2-16=(b+4)(b-4)\)
11. \(a^2-121=(a-11)(a+11)\)
12. \(s^2+26s+169=(s+13)^2\)