Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(x^2-26x+169\)
2. \(s^2-6s+9\)
3. \(144s^2-264s+121\)
4. \(-49a^2+1\)
5. \(100x^2-81\)
6. \(81y^2-196p^{16}\)
7. \(16-225a^{8}\)
8. \(144y^{4}-121\)
9. \(y^2-14y+49\)
10. \(196-9p^{4}\)
11. \(81q^{10}-234q^5x+169x^2\)
12. \(25b^{6}+110b^3+121\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(x^2-26x+169=(x-13)^2\)
2. \(s^2-6s+9=(s-3)^2\)
3. \(144s^2-264s+121=(12s-11)^2\)
4. \(-49a^2+1=(1-7a)(1+7a)\)
5. \(100x^2-81=(10x+9)(10x-9)\)
6. \(81y^2-196p^{16}=(9y-14p^8)(9y+14p^8)\)
7. \(16-225a^{8}=(4-15a^4)(4+15a^4)\)
8. \(144y^{4}-121=(12y^2+11)(12y^2-11)\)
9. \(y^2-14y+49=(y-7)^2\)
10. \(196-9p^{4}=(14-3p^2)(14+3p^2)\)
11. \(81q^{10}-234q^5x+169x^2=(9q^5-13x)^2\)
12. \(25b^{6}+110b^3+121=(5b^3+11)^2\)