Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(49-100q^{16}\)
2. \(144b^{8}-121\)
3. \(p^2-6p+9\)
4. \(25-36y^{6}\)
5. \(49a^{6}+112a^3+64\)
6. \(256s^{8}-169x^2\)
7. \(36p^{4}-132p^2s+121s^2\)
8. \(4b^{6}+60b^3+225\)
9. \(b^2-16\)
10. \(49x^2-169p^{4}\)
11. \(81p^{8}+36p^4q+4q^2\)
12. \(b^2-20b+100\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(49-100q^{16}=(7-10q^8)(7+10q^8)\)
2. \(144b^{8}-121=(12b^4+11)(12b^4-11)\)
3. \(p^2-6p+9=(p-3)^2\)
4. \(25-36y^{6}=(5-6y^3)(5+6y^3)\)
5. \(49a^{6}+112a^3+64=(7a^3+8)^2\)
6. \(256s^{8}-169x^2=(16s^4+13x)(16s^4-13x)\)
7. \(36p^{4}-132p^2s+121s^2=(6p^2-11s)^2\)
8. \(4b^{6}+60b^3+225=(2b^3+15)^2\)
9. \(b^2-16=(b-4)(b+4)\)
10. \(49x^2-169p^{4}=(7x-13p^2)(7x+13p^2)\)
11. \(81p^{8}+36p^4q+4q^2=(9p^4+2q)^2\)
12. \(b^2-20b+100=(b-10)^2\)