Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(25p^2-1\)
2. \(y^2+12y+36\)
3. \(169q^2+364q+196\)
4. \(q^2-22q+121\)
5. \(x^2-1\)
6. \(b^2-4\)
7. \(s^2-196\)
8. \(64a^{4}-112a^2+49\)
9. \(121x^2-225q^{12}\)
10. \(121q^2+286q+169\)
11. \(y^2+16y+64\)
12. \(y^2-169\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(25p^2-1=(5p+1)(5p-1)\)
2. \(y^2+12y+36=(y+6)^2\)
3. \(169q^2+364q+196=(13q+14)^2\)
4. \(q^2-22q+121=(q-11)^2\)
5. \(x^2-1=(x+1)(x-1)\)
6. \(b^2-4=(b-2)(b+2)\)
7. \(s^2-196=(s-14)(s+14)\)
8. \(64a^{4}-112a^2+49=(8a^2-7)^2\)
9. \(121x^2-225q^{12}=(11x-15q^6)(11x+15q^6)\)
10. \(121q^2+286q+169=(11q+13)^2\)
11. \(y^2+16y+64=(y+8)^2\)
12. \(y^2-169=(y+13)(y-13)\)