Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(36x^{4}+84x^2+49\)
2. \(256y^{14}-49\)
3. \(81y^2-36y+4\)
4. \(4s^2+28s+49\)
5. \(s^2+4s+4\)
6. \(64a^2-240a+225\)
7. \(36a^{4}-132a^2+121\)
8. \(225q^{8}-4y^2\)
9. \(a^2-25\)
10. \(-169s^2+16\)
11. \(100-9y^{10}\)
12. \(64q^{10}-112q^5+49\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(36x^{4}+84x^2+49=(6x^2+7)^2\)
2. \(256y^{14}-49=(16y^7+7)(16y^7-7)\)
3. \(81y^2-36y+4=(9y-2)^2\)
4. \(4s^2+28s+49=(2s+7)^2\)
5. \(s^2+4s+4=(s+2)^2\)
6. \(64a^2-240a+225=(8a-15)^2\)
7. \(36a^{4}-132a^2+121=(6a^2-11)^2\)
8. \(225q^{8}-4y^2=(15q^4+2y)(15q^4-2y)\)
9. \(a^2-25=(a-5)(a+5)\)
10. \(-169s^2+16=(4-13s)(4+13s)\)
11. \(100-9y^{10}=(10-3y^5)(10+3y^5)\)
12. \(64q^{10}-112q^5+49=(8q^5-7)^2\)