Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(-36b^2+1\)
2. \(p^2-36\)
3. \(81a^{12}-4\)
4. \(a^2-121\)
5. \(49s^{10}+14s^5y+1y^2\)
6. \(49-81s^{8}\)
7. \(64s^{4}+80s^2y+25y^2\)
8. \(169q^{10}+156q^5y+36y^2\)
9. \(36p^{8}+60p^4+25\)
10. \(225q^2-196a^{6}\)
11. \(49y^{4}+28y^2+4\)
12. \(25s^2-16a^{12}\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(-36b^2+1=(1-6b)(1+6b)\)
2. \(p^2-36=(p+6)(p-6)\)
3. \(81a^{12}-4=(9a^6+2)(9a^6-2)\)
4. \(a^2-121=(a+11)(a-11)\)
5. \(49s^{10}+14s^5y+1y^2=(7s^5+y)^2\)
6. \(49-81s^{8}=(7-9s^4)(7+9s^4)\)
7. \(64s^{4}+80s^2y+25y^2=(8s^2+5y)^2\)
8. \(169q^{10}+156q^5y+36y^2=(13q^5+6y)^2\)
9. \(36p^{8}+60p^4+25=(6p^4+5)^2\)
10. \(225q^2-196a^{6}=(15q-14a^3)(15q+14a^3)\)
11. \(49y^{4}+28y^2+4=(7y^2+2)^2\)
12. \(25s^2-16a^{12}=(5s-4a^6)(5s+4a^6)\)