Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(a^2-6a+9\)
2. \(196x^2+28x+1\)
3. \(81s^2-100q^{12}\)
4. \(4x^2-25p^{6}\)
5. \(-9x^2+4\)
6. \(144a^{8}-264a^4p+121p^2\)
7. \(25y^2+90y+81\)
8. \(x^2-12x+36\)
9. \(81q^2-169\)
10. \(121b^{4}-4\)
11. \(-64s^2+121\)
12. \(169y^2-81p^{16}\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(a^2-6a+9=(a-3)^2\)
2. \(196x^2+28x+1=(14x+1)^2\)
3. \(81s^2-100q^{12}=(9s-10q^6)(9s+10q^6)\)
4. \(4x^2-25p^{6}=(2x-5p^3)(2x+5p^3)\)
5. \(-9x^2+4=(2-3x)(2+3x)\)
6. \(144a^{8}-264a^4p+121p^2=(12a^4-11p)^2\)
7. \(25y^2+90y+81=(5y+9)^2\)
8. \(x^2-12x+36=(x-6)^2\)
9. \(81q^2-169=(9q+13)(9q-13)\)
10. \(121b^{4}-4=(11b^2+2)(11b^2-2)\)
11. \(-64s^2+121=(11-8s)(11+8s)\)
12. \(169y^2-81p^{16}=(13y-9p^8)(13y+9p^8)\)