Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(a^2-16\)
2. \(a^2+12a+36\)
3. \(49y^2-84y+36\)
4. \(-169b^2+225\)
5. \(64s^{6}-112s^3x+49x^2\)
6. \(225a^2-210a+49\)
7. \(64s^2+176s+121\)
8. \(-36q^2+25\)
9. \(225b^2-60b+4\)
10. \(225p^{4}-4s^2\)
11. \(49x^2-225\)
12. \(169-36b^{4}\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(a^2-16=(a+4)(a-4)\)
2. \(a^2+12a+36=(a+6)^2\)
3. \(49y^2-84y+36=(7y-6)^2\)
4. \(-169b^2+225=(15-13b)(15+13b)\)
5. \(64s^{6}-112s^3x+49x^2=(8s^3-7x)^2\)
6. \(225a^2-210a+49=(15a-7)^2\)
7. \(64s^2+176s+121=(8s+11)^2\)
8. \(-36q^2+25=(5-6q)(5+6q)\)
9. \(225b^2-60b+4=(15b-2)^2\)
10. \(225p^{4}-4s^2=(15p^2+2s)(15p^2-2s)\)
11. \(49x^2-225=(7x+15)(7x-15)\)
12. \(169-36b^{4}=(13-6b^2)(13+6b^2)\)