Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(y^2-36\)
2. \(36s^{14}-25y^2\)
3. \(36b^{12}-49x^2\)
4. \(121q^2+110q+25\)
5. \(81a^{10}-72a^5+16\)
6. \(-36b^2+1\)
7. \(9a^{4}+48a^2p+64p^2\)
8. \(y^2-169\)
9. \(169s^2-b^{10}\)
10. \(49x^2-36\)
11. \(225p^{10}+30p^5+1\)
12. \(s^2-225\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(y^2-36=(y+6)(y-6)\)
2. \(36s^{14}-25y^2=(6s^7+5y)(6s^7-5y)\)
3. \(36b^{12}-49x^2=(6b^6+7x)(6b^6-7x)\)
4. \(121q^2+110q+25=(11q+5)^2\)
5. \(81a^{10}-72a^5+16=(9a^5-4)^2\)
6. \(-36b^2+1=(1-6b)(1+6b)\)
7. \(9a^{4}+48a^2p+64p^2=(3a^2+8p)^2\)
8. \(y^2-169=(y+13)(y-13)\)
9. \(169s^2-b^{10}=(13s-b^5)(13s+b^5)\)
10. \(49x^2-36=(7x+6)(7x-6)\)
11. \(225p^{10}+30p^5+1=(15p^5+1)^2\)
12. \(s^2-225=(s-15)(s+15)\)