Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(s^2+30s+225\)
2. \(9b^2-16a^{12}\)
3. \(64a^{6}-80a^3+25\)
4. \(256s^2-288s+81\)
5. \(4x^{12}-81y^2\)
6. \(-144y^2+25\)
7. \(121a^2-44a+4\)
8. \(25s^2+60s+36\)
9. \(100b^{16}-81\)
10. \(16a^{6}+8a^3+1\)
11. \(144p^{10}-168p^5q+49q^2\)
12. \(100s^2+140s+49\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(s^2+30s+225=(s+15)^2\)
2. \(9b^2-16a^{12}=(3b-4a^6)(3b+4a^6)\)
3. \(64a^{6}-80a^3+25=(8a^3-5)^2\)
4. \(256s^2-288s+81=(16s-9)^2\)
5. \(4x^{12}-81y^2=(2x^6+9y)(2x^6-9y)\)
6. \(-144y^2+25=(5-12y)(5+12y)\)
7. \(121a^2-44a+4=(11a-2)^2\)
8. \(25s^2+60s+36=(5s+6)^2\)
9. \(100b^{16}-81=(10b^8+9)(10b^8-9)\)
10. \(16a^{6}+8a^3+1=(4a^3+1)^2\)
11. \(144p^{10}-168p^5q+49q^2=(12p^5-7q)^2\)
12. \(100s^2+140s+49=(10s+7)^2\)