Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(s^2-36\)
2. \(y^2-30y+225\)
3. \(256y^{4}-96y^2+9\)
4. \(49-144p^{16}\)
5. \(25b^2-70b+49\)
6. \(q^2-25\)
7. \(x^2-100\)
8. \(-121y^2+144\)
9. \(100a^2+60a+9\)
10. \(16y^2-120y+225\)
11. \(9q^2+6q+1\)
12. \(4q^{16}-25\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(s^2-36=(s-6)(s+6)\)
2. \(y^2-30y+225=(y-15)^2\)
3. \(256y^{4}-96y^2+9=(16y^2-3)^2\)
4. \(49-144p^{16}=(7-12p^8)(7+12p^8)\)
5. \(25b^2-70b+49=(5b-7)^2\)
6. \(q^2-25=(q-5)(q+5)\)
7. \(x^2-100=(x-10)(x+10)\)
8. \(-121y^2+144=(12-11y)(12+11y)\)
9. \(100a^2+60a+9=(10a+3)^2\)
10. \(16y^2-120y+225=(4y-15)^2\)
11. \(9q^2+6q+1=(3q+1)^2\)
12. \(4q^{16}-25=(2q^8+5)(2q^8-5)\)