Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(p^2+30p+225\)
2. \(25x^2-196q^{6}\)
3. \(s^2-196\)
4. \(144a^{12}-49x^2\)
5. \(a^2-36\)
6. \(p^2-36\)
7. \(49a^{4}+14a^2+1\)
8. \(4-81a^{4}\)
9. \(4b^{6}+28b^3+49\)
10. \(-196y^2+81\)
11. \(225a^2+390a+169\)
12. \(16a^2-169\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(p^2+30p+225=(p+15)^2\)
2. \(25x^2-196q^{6}=(5x-14q^3)(5x+14q^3)\)
3. \(s^2-196=(s-14)(s+14)\)
4. \(144a^{12}-49x^2=(12a^6+7x)(12a^6-7x)\)
5. \(a^2-36=(a+6)(a-6)\)
6. \(p^2-36=(p-6)(p+6)\)
7. \(49a^{4}+14a^2+1=(7a^2+1)^2\)
8. \(4-81a^{4}=(2-9a^2)(2+9a^2)\)
9. \(4b^{6}+28b^3+49=(2b^3+7)^2\)
10. \(-196y^2+81=(9-14y)(9+14y)\)
11. \(225a^2+390a+169=(15a+13)^2\)
12. \(16a^2-169=(4a+13)(4a-13)\)