Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(256y^2-169\)
2. \(b^2-2b+1\)
3. \(-144x^2+121\)
4. \(q^2-8q+16\)
5. \(s^2-20s+100\)
6. \(q^2-6q+9\)
7. \(9p^2-48p+64\)
8. \(64s^{8}-112s^4y+49y^2\)
9. \(y^2-100\)
10. \(16a^{8}-81s^2\)
11. \(100-9x^{4}\)
12. \(4x^{6}+44x^3+121\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(256y^2-169=(16y+13)(16y-13)\)
2. \(b^2-2b+1=(b-1)^2\)
3. \(-144x^2+121=(11-12x)(11+12x)\)
4. \(q^2-8q+16=(q-4)^2\)
5. \(s^2-20s+100=(s-10)^2\)
6. \(q^2-6q+9=(q-3)^2\)
7. \(9p^2-48p+64=(3p-8)^2\)
8. \(64s^{8}-112s^4y+49y^2=(8s^4-7y)^2\)
9. \(y^2-100=(y-10)(y+10)\)
10. \(16a^{8}-81s^2=(4a^4+9s)(4a^4-9s)\)
11. \(100-9x^{4}=(10-3x^2)(10+3x^2)\)
12. \(4x^{6}+44x^3+121=(2x^3+11)^2\)