Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(196q^2-169\)
2. \(169b^{8}-78b^4+9\)
3. \(81q^{8}-1\)
4. \(x^2+28x+196\)
5. \(x^2+2x+1\)
6. \(100y^2-1\)
7. \(9p^{8}-100q^2\)
8. \(x^2-144\)
9. \(-25q^2+1\)
10. \(-81x^2+16\)
11. \(b^2-9\)
12. \(16y^2-225\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(196q^2-169=(14q+13)(14q-13)\)
2. \(169b^{8}-78b^4+9=(13b^4-3)^2\)
3. \(81q^{8}-1=(9q^4+1)(9q^4-1)\)
4. \(x^2+28x+196=(x+14)^2\)
5. \(x^2+2x+1=(x+1)^2\)
6. \(100y^2-1=(10y+1)(10y-1)\)
7. \(9p^{8}-100q^2=(3p^4+10q)(3p^4-10q)\)
8. \(x^2-144=(x+12)(x-12)\)
9. \(-25q^2+1=(1-5q)(1+5q)\)
10. \(-81x^2+16=(4-9x)(4+9x)\)
11. \(b^2-9=(b+3)(b-3)\)
12. \(16y^2-225=(4y+15)(4y-15)\)