Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(64b^{4}-225\)
2. \(a^2-49\)
3. \(256s^2+160s+25\)
4. \(49y^2-36\)
5. \(100b^{8}+180b^4q+81q^2\)
6. \(81x^2-196q^{8}\)
7. \(81q^{8}-64x^2\)
8. \(144x^{10}-25\)
9. \(b^2-9\)
10. \(a^2-64\)
11. \(16b^{6}-24b^3+9\)
12. \(144b^{4}+24b^2+1\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(64b^{4}-225=(8b^2+15)(8b^2-15)\)
2. \(a^2-49=(a-7)(a+7)\)
3. \(256s^2+160s+25=(16s+5)^2\)
4. \(49y^2-36=(7y+6)(7y-6)\)
5. \(100b^{8}+180b^4q+81q^2=(10b^4+9q)^2\)
6. \(81x^2-196q^{8}=(9x-14q^4)(9x+14q^4)\)
7. \(81q^{8}-64x^2=(9q^4+8x)(9q^4-8x)\)
8. \(144x^{10}-25=(12x^5+5)(12x^5-5)\)
9. \(b^2-9=(b-3)(b+3)\)
10. \(a^2-64=(a+8)(a-8)\)
11. \(16b^{6}-24b^3+9=(4b^3-3)^2\)
12. \(144b^{4}+24b^2+1=(12b^2+1)^2\)