Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(81s^2-36s+4\)
2. \(121s^{16}-196\)
3. \(x^2+24x+144\)
4. \(169q^2-196\)
5. \(y^2+4y+4\)
6. \(25s^2-140s+196\)
7. \(b^2-36\)
8. \(s^2+8s+16\)
9. \(36p^{4}-169s^2\)
10. \(100b^{6}+140b^3p+49p^2\)
11. \(-25x^2+144\)
12. \(b^2-49\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(81s^2-36s+4=(9s-2)^2\)
2. \(121s^{16}-196=(11s^8+14)(11s^8-14)\)
3. \(x^2+24x+144=(x+12)^2\)
4. \(169q^2-196=(13q+14)(13q-14)\)
5. \(y^2+4y+4=(y+2)^2\)
6. \(25s^2-140s+196=(5s-14)^2\)
7. \(b^2-36=(b+6)(b-6)\)
8. \(s^2+8s+16=(s+4)^2\)
9. \(36p^{4}-169s^2=(6p^2+13s)(6p^2-13s)\)
10. \(100b^{6}+140b^3p+49p^2=(10b^3+7p)^2\)
11. \(-25x^2+144=(12-5x)(12+5x)\)
12. \(b^2-49=(b+7)(b-7)\)