Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(64p^2+112p+49\)
2. \(a^2-8a+16\)
3. \(-100q^2+81\)
4. \(-121p^2+36\)
5. \(s^2+8s+16\)
6. \(x^2-225\)
7. \(16s^2-9\)
8. \(36q^2+132q+121\)
9. \(s^2-169\)
10. \(x^2-18x+81\)
11. \(169b^2-156b+36\)
12. \(196s^{10}-9y^2\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(64p^2+112p+49=(8p+7)^2\)
2. \(a^2-8a+16=(a-4)^2\)
3. \(-100q^2+81=(9-10q)(9+10q)\)
4. \(-121p^2+36=(6-11p)(6+11p)\)
5. \(s^2+8s+16=(s+4)^2\)
6. \(x^2-225=(x+15)(x-15)\)
7. \(16s^2-9=(4s+3)(4s-3)\)
8. \(36q^2+132q+121=(6q+11)^2\)
9. \(s^2-169=(s+13)(s-13)\)
10. \(x^2-18x+81=(x-9)^2\)
11. \(169b^2-156b+36=(13b-6)^2\)
12. \(196s^{10}-9y^2=(14s^5+3y)(14s^5-3y)\)