Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(y^2+20y+100\)
2. \(x^2-196\)
3. \(y^2-4\)
4. \(121s^2-196p^{8}\)
5. \(100q^{16}-121\)
6. \(16y^{12}-121\)
7. \(81y^2-72y+16\)
8. \(-169x^2+25\)
9. \(p^2+22p+121\)
10. \(196q^{4}+28q^2+1\)
11. \(a^{14}-196p^2\)
12. \(25p^{8}-140p^4s+196s^2\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(y^2+20y+100=(y+10)^2\)
2. \(x^2-196=(x+14)(x-14)\)
3. \(y^2-4=(y+2)(y-2)\)
4. \(121s^2-196p^{8}=(11s-14p^4)(11s+14p^4)\)
5. \(100q^{16}-121=(10q^8+11)(10q^8-11)\)
6. \(16y^{12}-121=(4y^6+11)(4y^6-11)\)
7. \(81y^2-72y+16=(9y-4)^2\)
8. \(-169x^2+25=(5-13x)(5+13x)\)
9. \(p^2+22p+121=(p+11)^2\)
10. \(196q^{4}+28q^2+1=(14q^2+1)^2\)
11. \(a^{14}-196p^2=(a^7+14p)(a^7-14p)\)
12. \(25p^{8}-140p^4s+196s^2=(5p^4-14s)^2\)