Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(100s^{8}+60s^4x+9x^2\)
2. \(169b^2-121a^{6}\)
3. \(9y^{8}+60y^4+100\)
4. \(a^{10}-256s^2\)
5. \(b^2-36\)
6. \(225p^{12}-64x^2\)
7. \(256y^2-25\)
8. \(64-169b^{4}\)
9. \(-121s^2+100\)
10. \(y^2-20y+100\)
11. \(225q^2-420q+196\)
12. \(y^2+18y+81\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(100s^{8}+60s^4x+9x^2=(10s^4+3x)^2\)
2. \(169b^2-121a^{6}=(13b-11a^3)(13b+11a^3)\)
3. \(9y^{8}+60y^4+100=(3y^4+10)^2\)
4. \(a^{10}-256s^2=(a^5+16s)(a^5-16s)\)
5. \(b^2-36=(b-6)(b+6)\)
6. \(225p^{12}-64x^2=(15p^6+8x)(15p^6-8x)\)
7. \(256y^2-25=(16y+5)(16y-5)\)
8. \(64-169b^{4}=(8-13b^2)(8+13b^2)\)
9. \(-121s^2+100=(10-11s)(10+11s)\)
10. \(y^2-20y+100=(y-10)^2\)
11. \(225q^2-420q+196=(15q-14)^2\)
12. \(y^2+18y+81=(y+9)^2\)