Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(x^2-121\)
2. \(-9x^2+169\)
3. \(16-25b^{4}\)
4. \(196q^{8}+28q^4+1\)
5. \(64a^{8}+240a^4+225\)
6. \(169s^2+78s+9\)
7. \(y^2-196\)
8. \(b^2-20b+100\)
9. \(100q^{8}-180q^4+81\)
10. \(-4q^2+49\)
11. \(16a^{8}+8a^4x+1x^2\)
12. \(y^2-121\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(x^2-121=(x+11)(x-11)\)
2. \(-9x^2+169=(13-3x)(13+3x)\)
3. \(16-25b^{4}=(4-5b^2)(4+5b^2)\)
4. \(196q^{8}+28q^4+1=(14q^4+1)^2\)
5. \(64a^{8}+240a^4+225=(8a^4+15)^2\)
6. \(169s^2+78s+9=(13s+3)^2\)
7. \(y^2-196=(y-14)(y+14)\)
8. \(b^2-20b+100=(b-10)^2\)
9. \(100q^{8}-180q^4+81=(10q^4-9)^2\)
10. \(-4q^2+49=(7-2q)(7+2q)\)
11. \(16a^{8}+8a^4x+1x^2=(4a^4+x)^2\)
12. \(y^2-121=(y-11)(y+11)\)