Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(b^2-20b+100\)
2. \(y^2-12y+36\)
3. \(q^2-169\)
4. \(196x^2-252x+81\)
5. \(a^2-9\)
6. \(x^2-6x+9\)
7. \(s^2-1\)
8. \(y^2-18y+81\)
9. \(121-36b^{6}\)
10. \(-9y^2+16\)
11. \(225s^2-420s+196\)
12. \(-49y^2+169\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(b^2-20b+100=(b-10)^2\)
2. \(y^2-12y+36=(y-6)^2\)
3. \(q^2-169=(q+13)(q-13)\)
4. \(196x^2-252x+81=(14x-9)^2\)
5. \(a^2-9=(a+3)(a-3)\)
6. \(x^2-6x+9=(x-3)^2\)
7. \(s^2-1=(s-1)(s+1)\)
8. \(y^2-18y+81=(y-9)^2\)
9. \(121-36b^{6}=(11-6b^3)(11+6b^3)\)
10. \(-9y^2+16=(4-3y)(4+3y)\)
11. \(225s^2-420s+196=(15s-14)^2\)
12. \(-49y^2+169=(13-7y)(13+7y)\)