Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(a^2+24a+144\)
2. \(81p^{8}-234p^4y+169y^2\)
3. \(16q^{10}-56q^5+49\)
4. \(256y^2-49\)
5. \(-49b^2+100\)
6. \(4x^2+36x+81\)
7. \(121a^2+22a+1\)
8. \(100a^{10}-180a^5+81\)
9. \(25x^{10}+10x^5+1\)
10. \(x^2-49\)
11. \(s^2-2s+1\)
12. \(169p^{8}+260p^4+100\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(a^2+24a+144=(a+12)^2\)
2. \(81p^{8}-234p^4y+169y^2=(9p^4-13y)^2\)
3. \(16q^{10}-56q^5+49=(4q^5-7)^2\)
4. \(256y^2-49=(16y+7)(16y-7)\)
5. \(-49b^2+100=(10-7b)(10+7b)\)
6. \(4x^2+36x+81=(2x+9)^2\)
7. \(121a^2+22a+1=(11a+1)^2\)
8. \(100a^{10}-180a^5+81=(10a^5-9)^2\)
9. \(25x^{10}+10x^5+1=(5x^5+1)^2\)
10. \(x^2-49=(x+7)(x-7)\)
11. \(s^2-2s+1=(s-1)^2\)
12. \(169p^{8}+260p^4+100=(13p^4+10)^2\)