Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(169q^2-36p^{6}\)
2. \(49a^{10}-16\)
3. \(s^2+10s+25\)
4. \(121-225b^{14}\)
5. \(81x^2-25a^{14}\)
6. \(169y^2-9s^{12}\)
7. \(49a^2-182a+169\)
8. \(16a^2-56a+49\)
9. \(x^2-25\)
10. \(81s^2-169\)
11. \(225b^{4}+210b^2+49\)
12. \(b^2+4b+4\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(169q^2-36p^{6}=(13q-6p^3)(13q+6p^3)\)
2. \(49a^{10}-16=(7a^5+4)(7a^5-4)\)
3. \(s^2+10s+25=(s+5)^2\)
4. \(121-225b^{14}=(11-15b^7)(11+15b^7)\)
5. \(81x^2-25a^{14}=(9x-5a^7)(9x+5a^7)\)
6. \(169y^2-9s^{12}=(13y-3s^6)(13y+3s^6)\)
7. \(49a^2-182a+169=(7a-13)^2\)
8. \(16a^2-56a+49=(4a-7)^2\)
9. \(x^2-25=(x-5)(x+5)\)
10. \(81s^2-169=(9s+13)(9s-13)\)
11. \(225b^{4}+210b^2+49=(15b^2+7)^2\)
12. \(b^2+4b+4=(b+2)^2\)