Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(s^2-16s+64\)
2. \(121q^2-16p^{16}\)
3. \(4p^2+4p+1\)
4. \(196b^{6}+140b^3y+25y^2\)
5. \(-25q^2+9\)
6. \(-25b^2+169\)
7. \(y^2+12y+36\)
8. \(16q^{4}+8q^2+1\)
9. \(q^2-16\)
10. \(225q^{16}-169x^2\)
11. \(16p^{4}-25\)
12. \(256y^2-49\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(s^2-16s+64=(s-8)^2\)
2. \(121q^2-16p^{16}=(11q-4p^8)(11q+4p^8)\)
3. \(4p^2+4p+1=(2p+1)^2\)
4. \(196b^{6}+140b^3y+25y^2=(14b^3+5y)^2\)
5. \(-25q^2+9=(3-5q)(3+5q)\)
6. \(-25b^2+169=(13-5b)(13+5b)\)
7. \(y^2+12y+36=(y+6)^2\)
8. \(16q^{4}+8q^2+1=(4q^2+1)^2\)
9. \(q^2-16=(q-4)(q+4)\)
10. \(225q^{16}-169x^2=(15q^8+13x)(15q^8-13x)\)
11. \(16p^{4}-25=(4p^2+5)(4p^2-5)\)
12. \(256y^2-49=(16y+7)(16y-7)\)