Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(q^2-30q+225\)
2. \(100x^2-1\)
3. \(y^2-8y+16\)
4. \(49y^2-224y+256\)
5. \(196a^2+28a+1\)
6. \(q^2+26q+169\)
7. \(196q^{10}+28q^5+1\)
8. \(25x^2-140x+196\)
9. \(9s^2-12s+4\)
10. \(16s^2-49a^{4}\)
11. \(144a^{10}-264a^5p+121p^2\)
12. \(q^2-81\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(q^2-30q+225=(q-15)^2\)
2. \(100x^2-1=(10x+1)(10x-1)\)
3. \(y^2-8y+16=(y-4)^2\)
4. \(49y^2-224y+256=(7y-16)^2\)
5. \(196a^2+28a+1=(14a+1)^2\)
6. \(q^2+26q+169=(q+13)^2\)
7. \(196q^{10}+28q^5+1=(14q^5+1)^2\)
8. \(25x^2-140x+196=(5x-14)^2\)
9. \(9s^2-12s+4=(3s-2)^2\)
10. \(16s^2-49a^{4}=(4s-7a^2)(4s+7a^2)\)
11. \(144a^{10}-264a^5p+121p^2=(12a^5-11p)^2\)
12. \(q^2-81=(q+9)(q-9)\)