Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(169y^{6}-156y^3+36\)
2. \(49p^2-84p+36\)
3. \(-25q^2+36\)
4. \(4p^2-225b^{4}\)
5. \(16q^2+88q+121\)
6. \(121-64x^{4}\)
7. \(169x^2-225\)
8. \(144x^2-264x+121\)
9. \(-4b^2+81\)
10. \(-121q^2+1\)
11. \(s^2-6s+9\)
12. \(256q^2-288q+81\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(169y^{6}-156y^3+36=(13y^3-6)^2\)
2. \(49p^2-84p+36=(7p-6)^2\)
3. \(-25q^2+36=(6-5q)(6+5q)\)
4. \(4p^2-225b^{4}=(2p-15b^2)(2p+15b^2)\)
5. \(16q^2+88q+121=(4q+11)^2\)
6. \(121-64x^{4}=(11-8x^2)(11+8x^2)\)
7. \(169x^2-225=(13x+15)(13x-15)\)
8. \(144x^2-264x+121=(12x-11)^2\)
9. \(-4b^2+81=(9-2b)(9+2b)\)
10. \(-121q^2+1=(1-11q)(1+11q)\)
11. \(s^2-6s+9=(s-3)^2\)
12. \(256q^2-288q+81=(16q-9)^2\)