Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(a^2-1\)
2. \(x^2-8x+16\)
3. \(p^2+30p+225\)
4. \(x^2+6x+9\)
5. \(25s^2-70s+49\)
6. \(-36x^2+25\)
7. \(100b^{6}+140b^3+49\)
8. \(49-225q^{8}\)
9. \(225x^{4}-420x^2+196\)
10. \(4q^2-225b^{8}\)
11. \(256x^2+160x+25\)
12. \(p^2-24p+144\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(a^2-1=(a-1)(a+1)\)
2. \(x^2-8x+16=(x-4)^2\)
3. \(p^2+30p+225=(p+15)^2\)
4. \(x^2+6x+9=(x+3)^2\)
5. \(25s^2-70s+49=(5s-7)^2\)
6. \(-36x^2+25=(5-6x)(5+6x)\)
7. \(100b^{6}+140b^3+49=(10b^3+7)^2\)
8. \(49-225q^{8}=(7-15q^4)(7+15q^4)\)
9. \(225x^{4}-420x^2+196=(15x^2-14)^2\)
10. \(4q^2-225b^{8}=(2q-15b^4)(2q+15b^4)\)
11. \(256x^2+160x+25=(16x+5)^2\)
12. \(p^2-24p+144=(p-12)^2\)