Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(-225q^2+49\)
2. \(49-169a^{8}\)
3. \(196b^{8}-364b^4+169\)
4. \(16y^2-121\)
5. \(-81b^2+169\)
6. \(36x^{10}-25\)
7. \(y^2+20y+100\)
8. \(4p^{14}-169\)
9. \(b^2-16\)
10. \(36p^{4}-60p^2q+25q^2\)
11. \(16b^{14}-9q^2\)
12. \(64a^{6}+208a^3q+169q^2\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(-225q^2+49=(7-15q)(7+15q)\)
2. \(49-169a^{8}=(7-13a^4)(7+13a^4)\)
3. \(196b^{8}-364b^4+169=(14b^4-13)^2\)
4. \(16y^2-121=(4y+11)(4y-11)\)
5. \(-81b^2+169=(13-9b)(13+9b)\)
6. \(36x^{10}-25=(6x^5+5)(6x^5-5)\)
7. \(y^2+20y+100=(y+10)^2\)
8. \(4p^{14}-169=(2p^7+13)(2p^7-13)\)
9. \(b^2-16=(b-4)(b+4)\)
10. \(36p^{4}-60p^2q+25q^2=(6p^2-5q)^2\)
11. \(16b^{14}-9q^2=(4b^7+3q)(4b^7-3q)\)
12. \(64a^{6}+208a^3q+169q^2=(8a^3+13q)^2\)