Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(-100a^2+1\)
2. \(49b^2-225\)
3. \(169p^{10}+234p^5x+81x^2\)
4. \(169q^2-36a^{6}\)
5. \(y^2+28y+196\)
6. \(144b^2+168b+49\)
7. \(s^2+2s+1\)
8. \(9b^2-121\)
9. \(36b^{8}+60b^4q+25q^2\)
10. \(-4s^2+9\)
11. \(64q^{10}-112q^5+49\)
12. \(a^2-25\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(-100a^2+1=(1-10a)(1+10a)\)
2. \(49b^2-225=(7b+15)(7b-15)\)
3. \(169p^{10}+234p^5x+81x^2=(13p^5+9x)^2\)
4. \(169q^2-36a^{6}=(13q-6a^3)(13q+6a^3)\)
5. \(y^2+28y+196=(y+14)^2\)
6. \(144b^2+168b+49=(12b+7)^2\)
7. \(s^2+2s+1=(s+1)^2\)
8. \(9b^2-121=(3b+11)(3b-11)\)
9. \(36b^{8}+60b^4q+25q^2=(6b^4+5q)^2\)
10. \(-4s^2+9=(3-2s)(3+2s)\)
11. \(64q^{10}-112q^5+49=(8q^5-7)^2\)
12. \(a^2-25=(a-5)(a+5)\)