Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(a^2-28a+196\)
2. \(196b^{4}+28b^2+1\)
3. \(256p^2+32p+1\)
4. \(-169b^2+144\)
5. \(-49y^2+225\)
6. \(81x^2-4b^{8}\)
7. \(9s^{14}-49y^2\)
8. \(y^2-25\)
9. \(1-144a^{4}\)
10. \(q^2+2q+1\)
11. \(225b^2-210b+49\)
12. \(-16s^2+1\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(a^2-28a+196=(a-14)^2\)
2. \(196b^{4}+28b^2+1=(14b^2+1)^2\)
3. \(256p^2+32p+1=(16p+1)^2\)
4. \(-169b^2+144=(12-13b)(12+13b)\)
5. \(-49y^2+225=(15-7y)(15+7y)\)
6. \(81x^2-4b^{8}=(9x-2b^4)(9x+2b^4)\)
7. \(9s^{14}-49y^2=(3s^7+7y)(3s^7-7y)\)
8. \(y^2-25=(y+5)(y-5)\)
9. \(1-144a^{4}=(1-12a^2)(1+12a^2)\)
10. \(q^2+2q+1=(q+1)^2\)
11. \(225b^2-210b+49=(15b-7)^2\)
12. \(-16s^2+1=(1-4s)(1+4s)\)