Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(s^2+24s+144\)
2. \(a^2-196\)
3. \(b^2-100\)
4. \(256x^2+480x+225\)
5. \(y^2-225\)
6. \(b^2-169\)
7. \(-169x^2+81\)
8. \(36y^2-25\)
9. \(x^2-4\)
10. \(q^2+4q+4\)
11. \(p^2+12p+36\)
12. \(4b^{10}+4b^5s+1s^2\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(s^2+24s+144=(s+12)^2\)
2. \(a^2-196=(a-14)(a+14)\)
3. \(b^2-100=(b-10)(b+10)\)
4. \(256x^2+480x+225=(16x+15)^2\)
5. \(y^2-225=(y-15)(y+15)\)
6. \(b^2-169=(b+13)(b-13)\)
7. \(-169x^2+81=(9-13x)(9+13x)\)
8. \(36y^2-25=(6y+5)(6y-5)\)
9. \(x^2-4=(x+2)(x-2)\)
10. \(q^2+4q+4=(q+2)^2\)
11. \(p^2+12p+36=(p+6)^2\)
12. \(4b^{10}+4b^5s+1s^2=(2b^5+s)^2\)