Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(-16q^2+225\)
2. \(16b^2-56b+49\)
3. \(225a^{8}+210a^4x+49x^2\)
4. \(x^2-24x+144\)
5. \(100p^2+220p+121\)
6. \(36p^2-60p+25\)
7. \(49s^2-256a^{10}\)
8. \(p^2-49\)
9. \(4b^{6}-9p^2\)
10. \(64s^2-225\)
11. \(4y^{10}+4y^5+1\)
12. \(225p^{12}-1\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(-16q^2+225=(15-4q)(15+4q)\)
2. \(16b^2-56b+49=(4b-7)^2\)
3. \(225a^{8}+210a^4x+49x^2=(15a^4+7x)^2\)
4. \(x^2-24x+144=(x-12)^2\)
5. \(100p^2+220p+121=(10p+11)^2\)
6. \(36p^2-60p+25=(6p-5)^2\)
7. \(49s^2-256a^{10}=(7s-16a^5)(7s+16a^5)\)
8. \(p^2-49=(p+7)(p-7)\)
9. \(4b^{6}-9p^2=(2b^3+3p)(2b^3-3p)\)
10. \(64s^2-225=(8s+15)(8s-15)\)
11. \(4y^{10}+4y^5+1=(2y^5+1)^2\)
12. \(225p^{12}-1=(15p^6+1)(15p^6-1)\)