Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(81y^2-144y+64\)
2. \(25p^2+60p+36\)
3. \(256b^2-169\)
4. \(9p^2-25\)
5. \(16x^{8}-169y^2\)
6. \(144p^{4}+24p^2+1\)
7. \(169-49x^{6}\)
8. \(49y^2-225\)
9. \(100a^2+60a+9\)
10. \(169p^2-81b^{4}\)
11. \(169y^2-256q^{8}\)
12. \(x^2-36\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(81y^2-144y+64=(9y-8)^2\)
2. \(25p^2+60p+36=(5p+6)^2\)
3. \(256b^2-169=(16b+13)(16b-13)\)
4. \(9p^2-25=(3p+5)(3p-5)\)
5. \(16x^{8}-169y^2=(4x^4+13y)(4x^4-13y)\)
6. \(144p^{4}+24p^2+1=(12p^2+1)^2\)
7. \(169-49x^{6}=(13-7x^3)(13+7x^3)\)
8. \(49y^2-225=(7y+15)(7y-15)\)
9. \(100a^2+60a+9=(10a+3)^2\)
10. \(169p^2-81b^{4}=(13p-9b^2)(13p+9b^2)\)
11. \(169y^2-256q^{8}=(13y-16q^4)(13y+16q^4)\)
12. \(x^2-36=(x+6)(x-6)\)