Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(256b^2-480b+225\)
2. \(169a^{10}+26a^5p+1p^2\)
3. \(121s^{8}-196\)
4. \(y^2-121\)
5. \(16b^{6}-88b^3+121\)
6. \(s^2+12s+36\)
7. \(1-9s^{4}\)
8. \(a^2+2a+1\)
9. \(121y^2+264y+144\)
10. \(196-225x^{8}\)
11. \(169y^2-104y+16\)
12. \(49x^{4}-225\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(256b^2-480b+225=(16b-15)^2\)
2. \(169a^{10}+26a^5p+1p^2=(13a^5+p)^2\)
3. \(121s^{8}-196=(11s^4+14)(11s^4-14)\)
4. \(y^2-121=(y-11)(y+11)\)
5. \(16b^{6}-88b^3+121=(4b^3-11)^2\)
6. \(s^2+12s+36=(s+6)^2\)
7. \(1-9s^{4}=(1-3s^2)(1+3s^2)\)
8. \(a^2+2a+1=(a+1)^2\)
9. \(121y^2+264y+144=(11y+12)^2\)
10. \(196-225x^{8}=(14-15x^4)(14+15x^4)\)
11. \(169y^2-104y+16=(13y-4)^2\)
12. \(49x^{4}-225=(7x^2+15)(7x^2-15)\)