Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(-9x^2+169\)
2. \(q^2-14q+49\)
3. \(36a^{10}+60a^5+25\)
4. \(x^2-1\)
5. \(y^2-6y+9\)
6. \(144b^{8}+264b^4y+121y^2\)
7. \(256y^{4}-9\)
8. \(y^2-16\)
9. \(16b^2+56b+49\)
10. \(169b^{8}-156b^4p+36p^2\)
11. \(81b^2-144b+64\)
12. \(25q^2-40q+16\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(-9x^2+169=(13-3x)(13+3x)\)
2. \(q^2-14q+49=(q-7)^2\)
3. \(36a^{10}+60a^5+25=(6a^5+5)^2\)
4. \(x^2-1=(x-1)(x+1)\)
5. \(y^2-6y+9=(y-3)^2\)
6. \(144b^{8}+264b^4y+121y^2=(12b^4+11y)^2\)
7. \(256y^{4}-9=(16y^2+3)(16y^2-3)\)
8. \(y^2-16=(y+4)(y-4)\)
9. \(16b^2+56b+49=(4b+7)^2\)
10. \(169b^{8}-156b^4p+36p^2=(13b^4-6p)^2\)
11. \(81b^2-144b+64=(9b-8)^2\)
12. \(25q^2-40q+16=(5q-4)^2\)