Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(225a^2+120a+16\)
2. \(x^2-25\)
3. \(16-49b^{10}\)
4. \(64s^{6}-240s^3x+225x^2\)
5. \(25b^2-140b+196\)
6. \(100a^2-49\)
7. \(25-36b^{4}\)
8. \(36a^{6}+156a^3b+169b^2\)
9. \(256a^2+224a+49\)
10. \(q^2-16q+64\)
11. \(196s^2-1\)
12. \(a^2-100\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(225a^2+120a+16=(15a+4)^2\)
2. \(x^2-25=(x-5)(x+5)\)
3. \(16-49b^{10}=(4-7b^5)(4+7b^5)\)
4. \(64s^{6}-240s^3x+225x^2=(8s^3-15x)^2\)
5. \(25b^2-140b+196=(5b-14)^2\)
6. \(100a^2-49=(10a+7)(10a-7)\)
7. \(25-36b^{4}=(5-6b^2)(5+6b^2)\)
8. \(36a^{6}+156a^3b+169b^2=(6a^3+13b)^2\)
9. \(256a^2+224a+49=(16a+7)^2\)
10. \(q^2-16q+64=(q-8)^2\)
11. \(196s^2-1=(14s+1)(14s-1)\)
12. \(a^2-100=(a+10)(a-10)\)