Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(q^2-144\)
2. \(-169p^2+9\)
3. \(49a^{6}+154a^3+121\)
4. \(16-49x^{4}\)
5. \(36p^{8}+156p^4x+169x^2\)
6. \(16s^2-120s+225\)
7. \(y^2-81\)
8. \(q^2-169\)
9. \(64b^2+48b+9\)
10. \(81s^2-16\)
11. \(y^2-26y+169\)
12. \(x^2+30x+225\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(q^2-144=(q-12)(q+12)\)
2. \(-169p^2+9=(3-13p)(3+13p)\)
3. \(49a^{6}+154a^3+121=(7a^3+11)^2\)
4. \(16-49x^{4}=(4-7x^2)(4+7x^2)\)
5. \(36p^{8}+156p^4x+169x^2=(6p^4+13x)^2\)
6. \(16s^2-120s+225=(4s-15)^2\)
7. \(y^2-81=(y-9)(y+9)\)
8. \(q^2-169=(q-13)(q+13)\)
9. \(64b^2+48b+9=(8b+3)^2\)
10. \(81s^2-16=(9s+4)(9s-4)\)
11. \(y^2-26y+169=(y-13)^2\)
12. \(x^2+30x+225=(x+15)^2\)