Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(81a^2-234a+169\)
2. \(-169x^2+196\)
3. \(s^2+30s+225\)
4. \(-121y^2+25\)
5. \(64-25q^{16}\)
6. \(81s^{8}-100x^2\)
7. \(81b^{10}+234b^5p+169p^2\)
8. \(b^2-64\)
9. \(49x^2-4s^{6}\)
10. \(49s^2+42s+9\)
11. \(81x^2-16p^{14}\)
12. \(y^2-4\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(81a^2-234a+169=(9a-13)^2\)
2. \(-169x^2+196=(14-13x)(14+13x)\)
3. \(s^2+30s+225=(s+15)^2\)
4. \(-121y^2+25=(5-11y)(5+11y)\)
5. \(64-25q^{16}=(8-5q^8)(8+5q^8)\)
6. \(81s^{8}-100x^2=(9s^4+10x)(9s^4-10x)\)
7. \(81b^{10}+234b^5p+169p^2=(9b^5+13p)^2\)
8. \(b^2-64=(b-8)(b+8)\)
9. \(49x^2-4s^{6}=(7x-2s^3)(7x+2s^3)\)
10. \(49s^2+42s+9=(7s+3)^2\)
11. \(81x^2-16p^{14}=(9x-4p^7)(9x+4p^7)\)
12. \(y^2-4=(y-2)(y+2)\)