Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(64p^2+16p+1\)
2. \(144q^{14}-121y^2\)
3. \(25p^2-4\)
4. \(x^2+2x+1\)
5. \(36a^2-60a+25\)
6. \(225x^{6}-60x^3+4\)
7. \(169-100y^{6}\)
8. \(25x^2-36a^{8}\)
9. \(196y^{6}+84y^3+9\)
10. \(49a^{10}-121q^2\)
11. \(81b^{8}+234b^4+169\)
12. \(x^2+24x+144\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(64p^2+16p+1=(8p+1)^2\)
2. \(144q^{14}-121y^2=(12q^7+11y)(12q^7-11y)\)
3. \(25p^2-4=(5p+2)(5p-2)\)
4. \(x^2+2x+1=(x+1)^2\)
5. \(36a^2-60a+25=(6a-5)^2\)
6. \(225x^{6}-60x^3+4=(15x^3-2)^2\)
7. \(169-100y^{6}=(13-10y^3)(13+10y^3)\)
8. \(25x^2-36a^{8}=(5x-6a^4)(5x+6a^4)\)
9. \(196y^{6}+84y^3+9=(14y^3+3)^2\)
10. \(49a^{10}-121q^2=(7a^5+11q)(7a^5-11q)\)
11. \(81b^{8}+234b^4+169=(9b^4+13)^2\)
12. \(x^2+24x+144=(x+12)^2\)