Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(-4q^2+1\)
2. \(225s^{16}-121y^2\)
3. \(25s^{6}-121x^2\)
4. \(25s^2-144\)
5. \(16b^{8}-88b^4+121\)
6. \(144b^{8}+120b^4q+25q^2\)
7. \(225b^{6}+210b^3x+49x^2\)
8. \(64q^2-112q+49\)
9. \(169b^{6}-156b^3+36\)
10. \(25y^2-121x^{8}\)
11. \(-144a^2+1\)
12. \(y^2-144\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(-4q^2+1=(1-2q)(1+2q)\)
2. \(225s^{16}-121y^2=(15s^8+11y)(15s^8-11y)\)
3. \(25s^{6}-121x^2=(5s^3+11x)(5s^3-11x)\)
4. \(25s^2-144=(5s+12)(5s-12)\)
5. \(16b^{8}-88b^4+121=(4b^4-11)^2\)
6. \(144b^{8}+120b^4q+25q^2=(12b^4+5q)^2\)
7. \(225b^{6}+210b^3x+49x^2=(15b^3+7x)^2\)
8. \(64q^2-112q+49=(8q-7)^2\)
9. \(169b^{6}-156b^3+36=(13b^3-6)^2\)
10. \(25y^2-121x^{8}=(5y-11x^4)(5y+11x^4)\)
11. \(-144a^2+1=(1-12a)(1+12a)\)
12. \(y^2-144=(y+12)(y-12)\)