Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(b^2-64\)
2. \(196b^{8}-364b^4p+169p^2\)
3. \(49y^2-16q^{8}\)
4. \(y^2+28y+196\)
5. \(s^2-24s+144\)
6. \(x^2+24x+144\)
7. \(100y^{8}-60y^4+9\)
8. \(-196y^2+169\)
9. \(64b^{10}-240b^5+225\)
10. \(-9y^2+1\)
11. \(1-100s^{10}\)
12. \(x^2-100\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(b^2-64=(b+8)(b-8)\)
2. \(196b^{8}-364b^4p+169p^2=(14b^4-13p)^2\)
3. \(49y^2-16q^{8}=(7y-4q^4)(7y+4q^4)\)
4. \(y^2+28y+196=(y+14)^2\)
5. \(s^2-24s+144=(s-12)^2\)
6. \(x^2+24x+144=(x+12)^2\)
7. \(100y^{8}-60y^4+9=(10y^4-3)^2\)
8. \(-196y^2+169=(13-14y)(13+14y)\)
9. \(64b^{10}-240b^5+225=(8b^5-15)^2\)
10. \(-9y^2+1=(1-3y)(1+3y)\)
11. \(1-100s^{10}=(1-10s^5)(1+10s^5)\)
12. \(x^2-100=(x+10)(x-10)\)