Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(x^2-196\)
2. \(-196s^2+121\)
3. \(36a^{8}-132a^4+121\)
4. \(s^2-36\)
5. \(q^2-16q+64\)
6. \(100p^{4}-60p^2s+9s^2\)
7. \(25p^{4}-70p^2+49\)
8. \(49y^{8}+28y^4+4\)
9. \(a^2-8a+16\)
10. \(9y^2-169\)
11. \(y^2-36\)
12. \(b^2-25\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(x^2-196=(x-14)(x+14)\)
2. \(-196s^2+121=(11-14s)(11+14s)\)
3. \(36a^{8}-132a^4+121=(6a^4-11)^2\)
4. \(s^2-36=(s-6)(s+6)\)
5. \(q^2-16q+64=(q-8)^2\)
6. \(100p^{4}-60p^2s+9s^2=(10p^2-3s)^2\)
7. \(25p^{4}-70p^2+49=(5p^2-7)^2\)
8. \(49y^{8}+28y^4+4=(7y^4+2)^2\)
9. \(a^2-8a+16=(a-4)^2\)
10. \(9y^2-169=(3y+13)(3y-13)\)
11. \(y^2-36=(y+6)(y-6)\)
12. \(b^2-25=(b-5)(b+5)\)