Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(-49p^2+36\)
2. \(p^2+28p+196\)
3. \(100s^{8}-260s^4+169\)
4. \(a^2+26a+169\)
5. \(a^2-144\)
6. \(256y^{10}+224y^5+49\)
7. \(4q^{8}-81\)
8. \(q^2+30q+225\)
9. \(b^2-4\)
10. \(4b^{16}-121y^2\)
11. \(49a^2+210a+225\)
12. \(s^2+16s+64\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(-49p^2+36=(6-7p)(6+7p)\)
2. \(p^2+28p+196=(p+14)^2\)
3. \(100s^{8}-260s^4+169=(10s^4-13)^2\)
4. \(a^2+26a+169=(a+13)^2\)
5. \(a^2-144=(a-12)(a+12)\)
6. \(256y^{10}+224y^5+49=(16y^5+7)^2\)
7. \(4q^{8}-81=(2q^4+9)(2q^4-9)\)
8. \(q^2+30q+225=(q+15)^2\)
9. \(b^2-4=(b+2)(b-2)\)
10. \(4b^{16}-121y^2=(2b^8+11y)(2b^8-11y)\)
11. \(49a^2+210a+225=(7a+15)^2\)
12. \(s^2+16s+64=(s+8)^2\)