Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(s^2-4s+4\)
2. \(-100y^2+1\)
3. \(s^2-169\)
4. \(4b^{6}-25y^2\)
5. \(p^2-26p+169\)
6. \(9p^{12}-64\)
7. \(100s^2+260s+169\)
8. \(16x^{8}+88x^4+121\)
9. \(-9s^2+4\)
10. \(36q^2-60q+25\)
11. \(36y^2-121s^{12}\)
12. \(36a^{10}+156a^5y+169y^2\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(s^2-4s+4=(s-2)^2\)
2. \(-100y^2+1=(1-10y)(1+10y)\)
3. \(s^2-169=(s-13)(s+13)\)
4. \(4b^{6}-25y^2=(2b^3+5y)(2b^3-5y)\)
5. \(p^2-26p+169=(p-13)^2\)
6. \(9p^{12}-64=(3p^6+8)(3p^6-8)\)
7. \(100s^2+260s+169=(10s+13)^2\)
8. \(16x^{8}+88x^4+121=(4x^4+11)^2\)
9. \(-9s^2+4=(2-3s)(2+3s)\)
10. \(36q^2-60q+25=(6q-5)^2\)
11. \(36y^2-121s^{12}=(6y-11s^6)(6y+11s^6)\)
12. \(36a^{10}+156a^5y+169y^2=(6a^5+13y)^2\)