Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(9b^{4}+60b^2+100\)
2. \(-64a^2+25\)
3. \(16-25q^{8}\)
4. \(s^2-28s+196\)
5. \(1-100b^{6}\)
6. \(y^2-8y+16\)
7. \(4x^2-121a^{4}\)
8. \(144p^{8}+168p^4+49\)
9. \(q^2-144\)
10. \(100s^2+20s+1\)
11. \(81s^2-234s+169\)
12. \(225x^2-64\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(9b^{4}+60b^2+100=(3b^2+10)^2\)
2. \(-64a^2+25=(5-8a)(5+8a)\)
3. \(16-25q^{8}=(4-5q^4)(4+5q^4)\)
4. \(s^2-28s+196=(s-14)^2\)
5. \(1-100b^{6}=(1-10b^3)(1+10b^3)\)
6. \(y^2-8y+16=(y-4)^2\)
7. \(4x^2-121a^{4}=(2x-11a^2)(2x+11a^2)\)
8. \(144p^{8}+168p^4+49=(12p^4+7)^2\)
9. \(q^2-144=(q+12)(q-12)\)
10. \(100s^2+20s+1=(10s+1)^2\)
11. \(81s^2-234s+169=(9s-13)^2\)
12. \(225x^2-64=(15x+8)(15x-8)\)