Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(36p^{4}-60p^2x+25x^2\)
2. \(1-36x^{12}\)
3. \(225x^{6}-1\)
4. \(4q^{6}+4q^3+1\)
5. \(9b^2-16\)
6. \(25b^2-169\)
7. \(-100b^2+1\)
8. \(16s^{4}-88s^2y+121y^2\)
9. \(196q^2-364q+169\)
10. \(s^2-1\)
11. \(144-121s^{10}\)
12. \(4a^2-121\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(36p^{4}-60p^2x+25x^2=(6p^2-5x)^2\)
2. \(1-36x^{12}=(1-6x^6)(1+6x^6)\)
3. \(225x^{6}-1=(15x^3+1)(15x^3-1)\)
4. \(4q^{6}+4q^3+1=(2q^3+1)^2\)
5. \(9b^2-16=(3b+4)(3b-4)\)
6. \(25b^2-169=(5b+13)(5b-13)\)
7. \(-100b^2+1=(1-10b)(1+10b)\)
8. \(16s^{4}-88s^2y+121y^2=(4s^2-11y)^2\)
9. \(196q^2-364q+169=(14q-13)^2\)
10. \(s^2-1=(s-1)(s+1)\)
11. \(144-121s^{10}=(12-11s^5)(12+11s^5)\)
12. \(4a^2-121=(2a+11)(2a-11)\)