Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(64b^{6}-25\)
2. \(25y^2-36x^{4}\)
3. \(100a^{4}-1\)
4. \(256x^{12}-9\)
5. \(121p^{10}+330p^5x+225x^2\)
6. \(49-144s^{10}\)
7. \(y^2-1\)
8. \(25p^{6}-169x^2\)
9. \(b^2+12b+36\)
10. \(y^2+16y+64\)
11. \(64p^{8}-240p^4+225\)
12. \(196y^{4}-364y^2+169\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(64b^{6}-25=(8b^3+5)(8b^3-5)\)
2. \(25y^2-36x^{4}=(5y-6x^2)(5y+6x^2)\)
3. \(100a^{4}-1=(10a^2+1)(10a^2-1)\)
4. \(256x^{12}-9=(16x^6+3)(16x^6-3)\)
5. \(121p^{10}+330p^5x+225x^2=(11p^5+15x)^2\)
6. \(49-144s^{10}=(7-12s^5)(7+12s^5)\)
7. \(y^2-1=(y-1)(y+1)\)
8. \(25p^{6}-169x^2=(5p^3+13x)(5p^3-13x)\)
9. \(b^2+12b+36=(b+6)^2\)
10. \(y^2+16y+64=(y+8)^2\)
11. \(64p^{8}-240p^4+225=(8p^4-15)^2\)
12. \(196y^{4}-364y^2+169=(14y^2-13)^2\)