Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(225a^{10}-121y^2\)
2. \(81x^{10}-234x^5y+169y^2\)
3. \(25s^2-169a^{12}\)
4. \(64p^2+144p+81\)
5. \(25b^{10}+80b^5s+64s^2\)
6. \(x^2-49\)
7. \(b^2-36\)
8. \(p^2-225\)
9. \(225b^{4}+330b^2y+121y^2\)
10. \(-25y^2+9\)
11. \(b^2-16b+64\)
12. \(169s^2+208s+64\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(225a^{10}-121y^2=(15a^5+11y)(15a^5-11y)\)
2. \(81x^{10}-234x^5y+169y^2=(9x^5-13y)^2\)
3. \(25s^2-169a^{12}=(5s-13a^6)(5s+13a^6)\)
4. \(64p^2+144p+81=(8p+9)^2\)
5. \(25b^{10}+80b^5s+64s^2=(5b^5+8s)^2\)
6. \(x^2-49=(x-7)(x+7)\)
7. \(b^2-36=(b-6)(b+6)\)
8. \(p^2-225=(p+15)(p-15)\)
9. \(225b^{4}+330b^2y+121y^2=(15b^2+11y)^2\)
10. \(-25y^2+9=(3-5y)(3+5y)\)
11. \(b^2-16b+64=(b-8)^2\)
12. \(169s^2+208s+64=(13s+8)^2\)