Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(64y^{12}-49\)
2. \(-9x^2+49\)
3. \(256x^2-25\)
4. \(100s^2+140s+49\)
5. \(256q^{10}+480q^5y+225y^2\)
6. \(64p^2-81\)
7. \(4y^2-121\)
8. \(144b^2-1\)
9. \(9y^{8}-16\)
10. \(-25x^2+169\)
11. \(81q^{4}-169y^2\)
12. \(x^2+14x+49\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(64y^{12}-49=(8y^6+7)(8y^6-7)\)
2. \(-9x^2+49=(7-3x)(7+3x)\)
3. \(256x^2-25=(16x+5)(16x-5)\)
4. \(100s^2+140s+49=(10s+7)^2\)
5. \(256q^{10}+480q^5y+225y^2=(16q^5+15y)^2\)
6. \(64p^2-81=(8p+9)(8p-9)\)
7. \(4y^2-121=(2y+11)(2y-11)\)
8. \(144b^2-1=(12b+1)(12b-1)\)
9. \(9y^{8}-16=(3y^4+4)(3y^4-4)\)
10. \(-25x^2+169=(13-5x)(13+5x)\)
11. \(81q^{4}-169y^2=(9q^2+13y)(9q^2-13y)\)
12. \(x^2+14x+49=(x+7)^2\)