Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(196x^{10}+28x^5+1\)
2. \(121x^2-36\)
3. \(100x^2-60x+9\)
4. \(256x^2+32x+1\)
5. \(49a^{6}+210a^3+225\)
6. \(q^2-1\)
7. \(9p^2+60p+100\)
8. \(25s^2-36\)
9. \(169y^{8}-121\)
10. \(b^2+30b+225\)
11. \(64a^{8}-169b^2\)
12. \(-16a^2+49\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(196x^{10}+28x^5+1=(14x^5+1)^2\)
2. \(121x^2-36=(11x+6)(11x-6)\)
3. \(100x^2-60x+9=(10x-3)^2\)
4. \(256x^2+32x+1=(16x+1)^2\)
5. \(49a^{6}+210a^3+225=(7a^3+15)^2\)
6. \(q^2-1=(q-1)(q+1)\)
7. \(9p^2+60p+100=(3p+10)^2\)
8. \(25s^2-36=(5s+6)(5s-6)\)
9. \(169y^{8}-121=(13y^4+11)(13y^4-11)\)
10. \(b^2+30b+225=(b+15)^2\)
11. \(64a^{8}-169b^2=(8a^4+13b)(8a^4-13b)\)
12. \(-16a^2+49=(7-4a)(7+4a)\)