Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(169y^2-196\)
2. \(25y^{6}+60y^3+36\)
3. \(225-169x^{8}\)
4. \(169q^2-256a^{14}\)
5. \(144s^{8}+24s^4y+1y^2\)
6. \(p^2-225\)
7. \(1-16q^{12}\)
8. \(x^2-25\)
9. \(9b^2-4a^{8}\)
10. \(144q^{4}+120q^2+25\)
11. \(100s^{6}+60s^3x+9x^2\)
12. \(100x^{8}-260x^4+169\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(169y^2-196=(13y+14)(13y-14)\)
2. \(25y^{6}+60y^3+36=(5y^3+6)^2\)
3. \(225-169x^{8}=(15-13x^4)(15+13x^4)\)
4. \(169q^2-256a^{14}=(13q-16a^7)(13q+16a^7)\)
5. \(144s^{8}+24s^4y+1y^2=(12s^4+y)^2\)
6. \(p^2-225=(p-15)(p+15)\)
7. \(1-16q^{12}=(1-4q^6)(1+4q^6)\)
8. \(x^2-25=(x+5)(x-5)\)
9. \(9b^2-4a^{8}=(3b-2a^4)(3b+2a^4)\)
10. \(144q^{4}+120q^2+25=(12q^2+5)^2\)
11. \(100s^{6}+60s^3x+9x^2=(10s^3+3x)^2\)
12. \(100x^{8}-260x^4+169=(10x^4-13)^2\)