Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(s^2+28s+196\)
2. \(q^2+12q+36\)
3. \(b^2-225\)
4. \(16x^{6}-88x^3+121\)
5. \(b^2-9\)
6. \(169b^{10}+104b^5q+16q^2\)
7. \(100y^2-49\)
8. \(121y^{4}-176y^2+64\)
9. \(p^2-25\)
10. \(100b^{4}-60b^2x+9x^2\)
11. \(256p^{4}-288p^2+81\)
12. \(169s^2+364s+196\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(s^2+28s+196=(s+14)^2\)
2. \(q^2+12q+36=(q+6)^2\)
3. \(b^2-225=(b-15)(b+15)\)
4. \(16x^{6}-88x^3+121=(4x^3-11)^2\)
5. \(b^2-9=(b-3)(b+3)\)
6. \(169b^{10}+104b^5q+16q^2=(13b^5+4q)^2\)
7. \(100y^2-49=(10y+7)(10y-7)\)
8. \(121y^{4}-176y^2+64=(11y^2-8)^2\)
9. \(p^2-25=(p+5)(p-5)\)
10. \(100b^{4}-60b^2x+9x^2=(10b^2-3x)^2\)
11. \(256p^{4}-288p^2+81=(16p^2-9)^2\)
12. \(169s^2+364s+196=(13s+14)^2\)