Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(144b^{16}-25p^2\)
2. \(-169a^2+16\)
3. \(s^2+2s+1\)
4. \(q^2+4q+4\)
5. \(169y^2-196\)
6. \(4s^2+4s+1\)
7. \(y^2+24y+144\)
8. \(b^2+22b+121\)
9. \(b^2-18b+81\)
10. \(-81y^2+1\)
11. \(144a^{6}-264a^3p+121p^2\)
12. \(169a^{4}+26a^2q+1q^2\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(144b^{16}-25p^2=(12b^8+5p)(12b^8-5p)\)
2. \(-169a^2+16=(4-13a)(4+13a)\)
3. \(s^2+2s+1=(s+1)^2\)
4. \(q^2+4q+4=(q+2)^2\)
5. \(169y^2-196=(13y+14)(13y-14)\)
6. \(4s^2+4s+1=(2s+1)^2\)
7. \(y^2+24y+144=(y+12)^2\)
8. \(b^2+22b+121=(b+11)^2\)
9. \(b^2-18b+81=(b-9)^2\)
10. \(-81y^2+1=(1-9y)(1+9y)\)
11. \(144a^{6}-264a^3p+121p^2=(12a^3-11p)^2\)
12. \(169a^{4}+26a^2q+1q^2=(13a^2+q)^2\)