Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(25x^{4}-140x^2+196\)
2. \(25b^{10}-4y^2\)
3. \(64q^2-25\)
4. \(100a^{8}+260a^4s+169s^2\)
5. \(s^2+20s+100\)
6. \(-4p^2+225\)
7. \(s^2+16s+64\)
8. \(x^2-8x+16\)
9. \(256a^2-288a+81\)
10. \(64y^2-49\)
11. \(s^2-22s+121\)
12. \(16x^{6}+88x^3+121\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(25x^{4}-140x^2+196=(5x^2-14)^2\)
2. \(25b^{10}-4y^2=(5b^5+2y)(5b^5-2y)\)
3. \(64q^2-25=(8q+5)(8q-5)\)
4. \(100a^{8}+260a^4s+169s^2=(10a^4+13s)^2\)
5. \(s^2+20s+100=(s+10)^2\)
6. \(-4p^2+225=(15-2p)(15+2p)\)
7. \(s^2+16s+64=(s+8)^2\)
8. \(x^2-8x+16=(x-4)^2\)
9. \(256a^2-288a+81=(16a-9)^2\)
10. \(64y^2-49=(8y+7)(8y-7)\)
11. \(s^2-22s+121=(s-11)^2\)
12. \(16x^{6}+88x^3+121=(4x^3+11)^2\)