Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(9b^{10}+48b^5x+64x^2\)
2. \(169y^2-81b^{12}\)
3. \(100a^{8}-180a^4b+81b^2\)
4. \(25s^{10}+20s^5+4\)
5. \(16b^{10}+24b^5x+9x^2\)
6. \(64p^2+16p+1\)
7. \(169s^2+130s+25\)
8. \(25-81b^{12}\)
9. \(p^2-81\)
10. \(64p^{8}-121x^2\)
11. \(s^2+16s+64\)
12. \(169b^2-156b+36\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(9b^{10}+48b^5x+64x^2=(3b^5+8x)^2\)
2. \(169y^2-81b^{12}=(13y-9b^6)(13y+9b^6)\)
3. \(100a^{8}-180a^4b+81b^2=(10a^4-9b)^2\)
4. \(25s^{10}+20s^5+4=(5s^5+2)^2\)
5. \(16b^{10}+24b^5x+9x^2=(4b^5+3x)^2\)
6. \(64p^2+16p+1=(8p+1)^2\)
7. \(169s^2+130s+25=(13s+5)^2\)
8. \(25-81b^{12}=(5-9b^6)(5+9b^6)\)
9. \(p^2-81=(p+9)(p-9)\)
10. \(64p^{8}-121x^2=(8p^4+11x)(8p^4-11x)\)
11. \(s^2+16s+64=(s+8)^2\)
12. \(169b^2-156b+36=(13b-6)^2\)