Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(s^2-144\)
2. \(16s^{10}-24s^5x+9x^2\)
3. \(-9a^2+196\)
4. \(49y^2-16x^{6}\)
5. \(4-121a^{12}\)
6. \(81p^{4}-234p^2q+169q^2\)
7. \(4s^{4}+4s^2+1\)
8. \(x^2-24x+144\)
9. \(16s^{6}+40s^3y+25y^2\)
10. \(b^2-28b+196\)
11. \(-225p^2+64\)
12. \(25s^{10}-144\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(s^2-144=(s-12)(s+12)\)
2. \(16s^{10}-24s^5x+9x^2=(4s^5-3x)^2\)
3. \(-9a^2+196=(14-3a)(14+3a)\)
4. \(49y^2-16x^{6}=(7y-4x^3)(7y+4x^3)\)
5. \(4-121a^{12}=(2-11a^6)(2+11a^6)\)
6. \(81p^{4}-234p^2q+169q^2=(9p^2-13q)^2\)
7. \(4s^{4}+4s^2+1=(2s^2+1)^2\)
8. \(x^2-24x+144=(x-12)^2\)
9. \(16s^{6}+40s^3y+25y^2=(4s^3+5y)^2\)
10. \(b^2-28b+196=(b-14)^2\)
11. \(-225p^2+64=(8-15p)(8+15p)\)
12. \(25s^{10}-144=(5s^5+12)(5s^5-12)\)