Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(9s^{8}+48s^4+64\)
2. \(49y^{14}-9\)
3. \(256x^2-25\)
4. \(100b^2+140b+49\)
5. \(16b^{4}+8b^2x+1x^2\)
6. \(64p^{4}-80p^2x+25x^2\)
7. \(a^2+2a+1\)
8. \(a^2+30a+225\)
9. \(49x^2-144a^{4}\)
10. \(121y^2-220y+100\)
11. \(-169x^2+16\)
12. \(36q^{4}-169x^2\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(9s^{8}+48s^4+64=(3s^4+8)^2\)
2. \(49y^{14}-9=(7y^7+3)(7y^7-3)\)
3. \(256x^2-25=(16x+5)(16x-5)\)
4. \(100b^2+140b+49=(10b+7)^2\)
5. \(16b^{4}+8b^2x+1x^2=(4b^2+x)^2\)
6. \(64p^{4}-80p^2x+25x^2=(8p^2-5x)^2\)
7. \(a^2+2a+1=(a+1)^2\)
8. \(a^2+30a+225=(a+15)^2\)
9. \(49x^2-144a^{4}=(7x-12a^2)(7x+12a^2)\)
10. \(121y^2-220y+100=(11y-10)^2\)
11. \(-169x^2+16=(4-13x)(4+13x)\)
12. \(36q^{4}-169x^2=(6q^2+13x)(6q^2-13x)\)