Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(36q^{4}-25x^2\)
2. \(169s^{6}-49x^2\)
3. \(4y^2+28y+49\)
4. \(s^2-81\)
5. \(s^2-12s+36\)
6. \(y^2-1\)
7. \(a^2+28a+196\)
8. \(100s^2-49\)
9. \(b^2+24b+144\)
10. \(144x^2-25\)
11. \(64a^{4}+208a^2s+169s^2\)
12. \(4y^{4}+44y^2+121\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(36q^{4}-25x^2=(6q^2+5x)(6q^2-5x)\)
2. \(169s^{6}-49x^2=(13s^3+7x)(13s^3-7x)\)
3. \(4y^2+28y+49=(2y+7)^2\)
4. \(s^2-81=(s-9)(s+9)\)
5. \(s^2-12s+36=(s-6)^2\)
6. \(y^2-1=(y-1)(y+1)\)
7. \(a^2+28a+196=(a+14)^2\)
8. \(100s^2-49=(10s+7)(10s-7)\)
9. \(b^2+24b+144=(b+12)^2\)
10. \(144x^2-25=(12x+5)(12x-5)\)
11. \(64a^{4}+208a^2s+169s^2=(8a^2+13s)^2\)
12. \(4y^{4}+44y^2+121=(2y^2+11)^2\)