Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(q^2-225\)
2. \(9b^{6}+6b^3y+1y^2\)
3. \(49p^{6}-84p^3s+36s^2\)
4. \(p^2-144\)
5. \(4a^{6}-81\)
6. \(144p^{8}-168p^4+49\)
7. \(x^2-9\)
8. \(196a^{4}+140a^2+25\)
9. \(p^2-169\)
10. \(1-144s^{8}\)
11. \(49b^2-4a^{4}\)
12. \(16a^2+104a+169\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(q^2-225=(q-15)(q+15)\)
2. \(9b^{6}+6b^3y+1y^2=(3b^3+y)^2\)
3. \(49p^{6}-84p^3s+36s^2=(7p^3-6s)^2\)
4. \(p^2-144=(p+12)(p-12)\)
5. \(4a^{6}-81=(2a^3+9)(2a^3-9)\)
6. \(144p^{8}-168p^4+49=(12p^4-7)^2\)
7. \(x^2-9=(x-3)(x+3)\)
8. \(196a^{4}+140a^2+25=(14a^2+5)^2\)
9. \(p^2-169=(p+13)(p-13)\)
10. \(1-144s^{8}=(1-12s^4)(1+12s^4)\)
11. \(49b^2-4a^{4}=(7b-2a^2)(7b+2a^2)\)
12. \(16a^2+104a+169=(4a+13)^2\)