Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(25y^2-1\)
2. \(4a^{4}+4a^2+1\)
3. \(225s^2-4p^{14}\)
4. \(256b^2+288b+81\)
5. \(-25p^2+81\)
6. \(q^2+22q+121\)
7. \(36b^2+12b+1\)
8. \(x^2-64\)
9. \(x^2-30x+225\)
10. \(16x^2+56x+49\)
11. \(36s^{10}-132s^5x+121x^2\)
12. \(64a^2-240a+225\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(25y^2-1=(5y+1)(5y-1)\)
2. \(4a^{4}+4a^2+1=(2a^2+1)^2\)
3. \(225s^2-4p^{14}=(15s-2p^7)(15s+2p^7)\)
4. \(256b^2+288b+81=(16b+9)^2\)
5. \(-25p^2+81=(9-5p)(9+5p)\)
6. \(q^2+22q+121=(q+11)^2\)
7. \(36b^2+12b+1=(6b+1)^2\)
8. \(x^2-64=(x-8)(x+8)\)
9. \(x^2-30x+225=(x-15)^2\)
10. \(16x^2+56x+49=(4x+7)^2\)
11. \(36s^{10}-132s^5x+121x^2=(6s^5-11x)^2\)
12. \(64a^2-240a+225=(8a-15)^2\)