Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(25y^2+20y+4\)
2. \(144a^{10}-264a^5b+121b^2\)
3. \(144q^{10}+24q^5+1\)
4. \(121s^2-a^{8}\)
5. \(-256x^2+169\)
6. \(49x^{8}+210x^4+225\)
7. \(49s^2-16q^{4}\)
8. \(49x^2-225b^{16}\)
9. \(25a^{6}-20a^3q+4q^2\)
10. \(36x^{10}+12x^5+1\)
11. \(x^2-36\)
12. \(121-64b^{12}\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(25y^2+20y+4=(5y+2)^2\)
2. \(144a^{10}-264a^5b+121b^2=(12a^5-11b)^2\)
3. \(144q^{10}+24q^5+1=(12q^5+1)^2\)
4. \(121s^2-a^{8}=(11s-a^4)(11s+a^4)\)
5. \(-256x^2+169=(13-16x)(13+16x)\)
6. \(49x^{8}+210x^4+225=(7x^4+15)^2\)
7. \(49s^2-16q^{4}=(7s-4q^2)(7s+4q^2)\)
8. \(49x^2-225b^{16}=(7x-15b^8)(7x+15b^8)\)
9. \(25a^{6}-20a^3q+4q^2=(5a^3-2q)^2\)
10. \(36x^{10}+12x^5+1=(6x^5+1)^2\)
11. \(x^2-36=(x+6)(x-6)\)
12. \(121-64b^{12}=(11-8b^6)(11+8b^6)\)