Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(36s^2-1\)
2. \(81b^2-64\)
3. \(4b^2+4b+1\)
4. \(4y^{6}-81\)
5. \(36s^{4}+84s^2+49\)
6. \(225a^{10}-49x^2\)
7. \(121x^2-44x+4\)
8. \(49b^{8}+70b^4p+25p^2\)
9. \(a^2-2a+1\)
10. \(1-196y^{4}\)
11. \(121p^2+286p+169\)
12. \(b^2-100\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(36s^2-1=(6s+1)(6s-1)\)
2. \(81b^2-64=(9b+8)(9b-8)\)
3. \(4b^2+4b+1=(2b+1)^2\)
4. \(4y^{6}-81=(2y^3+9)(2y^3-9)\)
5. \(36s^{4}+84s^2+49=(6s^2+7)^2\)
6. \(225a^{10}-49x^2=(15a^5+7x)(15a^5-7x)\)
7. \(121x^2-44x+4=(11x-2)^2\)
8. \(49b^{8}+70b^4p+25p^2=(7b^4+5p)^2\)
9. \(a^2-2a+1=(a-1)^2\)
10. \(1-196y^{4}=(1-14y^2)(1+14y^2)\)
11. \(121p^2+286p+169=(11p+13)^2\)
12. \(b^2-100=(b+10)(b-10)\)