Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(s^2-225\)
2. \(y^2-196\)
3. \(16s^2-225p^{12}\)
4. \(256p^{14}-49y^2\)
5. \(s^2-36\)
6. \(121x^{8}+66x^4+9\)
7. \(121y^2-144b^{4}\)
8. \(49y^2+112y+64\)
9. \(256q^2+160q+25\)
10. \(p^2-4\)
11. \(169q^2-78q+9\)
12. \(225p^{6}-210p^3+49\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(s^2-225=(s-15)(s+15)\)
2. \(y^2-196=(y-14)(y+14)\)
3. \(16s^2-225p^{12}=(4s-15p^6)(4s+15p^6)\)
4. \(256p^{14}-49y^2=(16p^7+7y)(16p^7-7y)\)
5. \(s^2-36=(s-6)(s+6)\)
6. \(121x^{8}+66x^4+9=(11x^4+3)^2\)
7. \(121y^2-144b^{4}=(11y-12b^2)(11y+12b^2)\)
8. \(49y^2+112y+64=(7y+8)^2\)
9. \(256q^2+160q+25=(16q+5)^2\)
10. \(p^2-4=(p+2)(p-2)\)
11. \(169q^2-78q+9=(13q-3)^2\)
12. \(225p^{6}-210p^3+49=(15p^3-7)^2\)