Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(4y^2-1\)
2. \(p^2+2p+1\)
3. \(81x^2-198x+121\)
4. \(a^2-225\)
5. \(36b^{6}+132b^3+121\)
6. \(a^2-1\)
7. \(169b^{6}-312b^3s+144s^2\)
8. \(36a^{8}-60a^4p+25p^2\)
9. \(a^2+26a+169\)
10. \(q^2+30q+225\)
11. \(81p^2+252p+196\)
12. \(a^2-8a+16\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(4y^2-1=(2y+1)(2y-1)\)
2. \(p^2+2p+1=(p+1)^2\)
3. \(81x^2-198x+121=(9x-11)^2\)
4. \(a^2-225=(a+15)(a-15)\)
5. \(36b^{6}+132b^3+121=(6b^3+11)^2\)
6. \(a^2-1=(a-1)(a+1)\)
7. \(169b^{6}-312b^3s+144s^2=(13b^3-12s)^2\)
8. \(36a^{8}-60a^4p+25p^2=(6a^4-5p)^2\)
9. \(a^2+26a+169=(a+13)^2\)
10. \(q^2+30q+225=(q+15)^2\)
11. \(81p^2+252p+196=(9p+14)^2\)
12. \(a^2-8a+16=(a-4)^2\)