Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(a^2-144\)
2. \(1-100q^{4}\)
3. \(49p^{8}-224p^4+256\)
4. \(4y^2-225x^{16}\)
5. \(q^2+16q+64\)
6. \(-256s^2+9\)
7. \(q^2-4\)
8. \(121b^{8}-36\)
9. \(b^2-16b+64\)
10. \(100p^{8}-260p^4x+169x^2\)
11. \(64q^2+208q+169\)
12. \(-4x^2+169\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(a^2-144=(a-12)(a+12)\)
2. \(1-100q^{4}=(1-10q^2)(1+10q^2)\)
3. \(49p^{8}-224p^4+256=(7p^4-16)^2\)
4. \(4y^2-225x^{16}=(2y-15x^8)(2y+15x^8)\)
5. \(q^2+16q+64=(q+8)^2\)
6. \(-256s^2+9=(3-16s)(3+16s)\)
7. \(q^2-4=(q-2)(q+2)\)
8. \(121b^{8}-36=(11b^4+6)(11b^4-6)\)
9. \(b^2-16b+64=(b-8)^2\)
10. \(100p^{8}-260p^4x+169x^2=(10p^4-13x)^2\)
11. \(64q^2+208q+169=(8q+13)^2\)
12. \(-4x^2+169=(13-2x)(13+2x)\)