Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(a^2+12a+36\)
2. \(b^2-1\)
3. \(169-225y^{12}\)
4. \(196p^{6}+28p^3+1\)
5. \(s^2-196\)
6. \(121q^{6}-49s^2\)
7. \(196x^{6}+420x^3+225\)
8. \(4x^2-225p^{16}\)
9. \(-4q^2+25\)
10. \(b^2-22b+121\)
11. \(q^2-64\)
12. \(196b^{6}-252b^3+81\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(a^2+12a+36=(a+6)^2\)
2. \(b^2-1=(b-1)(b+1)\)
3. \(169-225y^{12}=(13-15y^6)(13+15y^6)\)
4. \(196p^{6}+28p^3+1=(14p^3+1)^2\)
5. \(s^2-196=(s+14)(s-14)\)
6. \(121q^{6}-49s^2=(11q^3+7s)(11q^3-7s)\)
7. \(196x^{6}+420x^3+225=(14x^3+15)^2\)
8. \(4x^2-225p^{16}=(2x-15p^8)(2x+15p^8)\)
9. \(-4q^2+25=(5-2q)(5+2q)\)
10. \(b^2-22b+121=(b-11)^2\)
11. \(q^2-64=(q-8)(q+8)\)
12. \(196b^{6}-252b^3+81=(14b^3-9)^2\)