Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(s^2-25\)
2. \(x^2-28x+196\)
3. \(9b^2-66b+121\)
4. \(25x^{4}-140x^2+196\)
5. \(64y^2+16y+1\)
6. \(q^2-121\)
7. \(x^2-30x+225\)
8. \(-9a^2+16\)
9. \(4b^{4}+4b^2q+1q^2\)
10. \(y^2-81\)
11. \(144-169y^{4}\)
12. \(25y^2+60y+36\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(s^2-25=(s-5)(s+5)\)
2. \(x^2-28x+196=(x-14)^2\)
3. \(9b^2-66b+121=(3b-11)^2\)
4. \(25x^{4}-140x^2+196=(5x^2-14)^2\)
5. \(64y^2+16y+1=(8y+1)^2\)
6. \(q^2-121=(q+11)(q-11)\)
7. \(x^2-30x+225=(x-15)^2\)
8. \(-9a^2+16=(4-3a)(4+3a)\)
9. \(4b^{4}+4b^2q+1q^2=(2b^2+q)^2\)
10. \(y^2-81=(y-9)(y+9)\)
11. \(144-169y^{4}=(12-13y^2)(12+13y^2)\)
12. \(25y^2+60y+36=(5y+6)^2\)