Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(121a^2-176a+64\)
2. \(p^2-169\)
3. \(4b^{16}-49\)
4. \(-169p^2+16\)
5. \(1-225s^{10}\)
6. \(16y^2-81a^{8}\)
7. \(225b^{6}-60b^3y+4y^2\)
8. \(169b^{12}-225x^2\)
9. \(s^2-4\)
10. \(64x^{4}-1\)
11. \(169q^2-b^{14}\)
12. \(144b^{8}-25y^2\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(121a^2-176a+64=(11a-8)^2\)
2. \(p^2-169=(p-13)(p+13)\)
3. \(4b^{16}-49=(2b^8+7)(2b^8-7)\)
4. \(-169p^2+16=(4-13p)(4+13p)\)
5. \(1-225s^{10}=(1-15s^5)(1+15s^5)\)
6. \(16y^2-81a^{8}=(4y-9a^4)(4y+9a^4)\)
7. \(225b^{6}-60b^3y+4y^2=(15b^3-2y)^2\)
8. \(169b^{12}-225x^2=(13b^6+15x)(13b^6-15x)\)
9. \(s^2-4=(s+2)(s-2)\)
10. \(64x^{4}-1=(8x^2+1)(8x^2-1)\)
11. \(169q^2-b^{14}=(13q-b^7)(13q+b^7)\)
12. \(144b^{8}-25y^2=(12b^4+5y)(12b^4-5y)\)