Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(-16b^2+225\)
2. \(25b^{4}+10b^2x+1x^2\)
3. \(225-196x^{4}\)
4. \(y^2-16\)
5. \(9b^2+78b+169\)
6. \(64x^2-9b^{12}\)
7. \(100p^2+220p+121\)
8. \(36a^{10}-25x^2\)
9. \(4x^2+4x+1\)
10. \(9x^2-1\)
11. \(4y^2+60y+225\)
12. \(256s^2-160s+25\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(-16b^2+225=(15-4b)(15+4b)\)
2. \(25b^{4}+10b^2x+1x^2=(5b^2+x)^2\)
3. \(225-196x^{4}=(15-14x^2)(15+14x^2)\)
4. \(y^2-16=(y-4)(y+4)\)
5. \(9b^2+78b+169=(3b+13)^2\)
6. \(64x^2-9b^{12}=(8x-3b^6)(8x+3b^6)\)
7. \(100p^2+220p+121=(10p+11)^2\)
8. \(36a^{10}-25x^2=(6a^5+5x)(6a^5-5x)\)
9. \(4x^2+4x+1=(2x+1)^2\)
10. \(9x^2-1=(3x+1)(3x-1)\)
11. \(4y^2+60y+225=(2y+15)^2\)
12. \(256s^2-160s+25=(16s-5)^2\)