Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(25q^{10}-4x^2\)
2. \(16y^{4}+8y^2+1\)
3. \(225-169y^{6}\)
4. \(225q^{6}-420q^3y+196y^2\)
5. \(64p^2+16p+1\)
6. \(169b^{10}-104b^5s+16s^2\)
7. \(9x^2-16q^{8}\)
8. \(169x^{6}-416x^3+256\)
9. \(25b^{4}+60b^2y+36y^2\)
10. \(256p^{6}+288p^3y+81y^2\)
11. \(36p^{8}-132p^4+121\)
12. \(81b^{8}-36b^4+4\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(25q^{10}-4x^2=(5q^5+2x)(5q^5-2x)\)
2. \(16y^{4}+8y^2+1=(4y^2+1)^2\)
3. \(225-169y^{6}=(15-13y^3)(15+13y^3)\)
4. \(225q^{6}-420q^3y+196y^2=(15q^3-14y)^2\)
5. \(64p^2+16p+1=(8p+1)^2\)
6. \(169b^{10}-104b^5s+16s^2=(13b^5-4s)^2\)
7. \(9x^2-16q^{8}=(3x-4q^4)(3x+4q^4)\)
8. \(169x^{6}-416x^3+256=(13x^3-16)^2\)
9. \(25b^{4}+60b^2y+36y^2=(5b^2+6y)^2\)
10. \(256p^{6}+288p^3y+81y^2=(16p^3+9y)^2\)
11. \(36p^{8}-132p^4+121=(6p^4-11)^2\)
12. \(81b^{8}-36b^4+4=(9b^4-2)^2\)