Рубрика: Հանրահաշիվ

Հանհրահաշիվ

1)25 — x^2 = — 1 (x — 5) (x + 5)

2)c^2 — 36 = (c — 6) (c + 6)

3)a^2 — 1 = (a — 1) (a + 1)

4) 1 — m^2 = (1 — m) (1 + m)

5) 4x^2 — 9 = (2x — 3) (2x + 3)

6) m^2 — 4n^2 = (m — 2n) (m + 2n)

7) 36p^2 — 25 = (6p — 5) (6p + 5)

8) 1- 81x^2 = (1 — 9x) (1 + 9x)

9) (1/2 a — b) (1/2 a + b)

10) 1/36 (2x — 3y) (2x + 3y)

11) a^2 b^2 — 4 = (ab — 2) (ab + 2)

12) x^2 y^2 — 9 = (xy — 3) (xy + 3)

13) 16 — m^2 n^2 = (4 — mn) (4 + mn)

14) 49 — p^2 q^2 = (7 — pq) (7 + pq)

15)4/9x^2 — 16/25y^2 = 4/225 (5x — 6) (5x + 6)

16) 9/4x^2 — 1/100 = 1/100 (15x — 1) (15x + 5)

17) 1 — 0,01a^2 = 1/100 (10 — a) (10 + a)

18) 4p^4 — 9 = (2p^2 — 3) (2p^2 + 3)

19)9/4x^2 — 1/100 = 1/100 (15x — 1) (15x +1)

20)81a^4b^4 — 1 = (3ab — 1) (3ab + 1) (9a^2 b^2 + 1)

21)x^4 y^6 z^2 = (x^2y^3 — z) (x^2y^3 + z)

22)100a^4 — 81b^6 = (10a^2-9b^3) (10a^2 + 9b^3)

23) a^6 — 4 = (a^3 — 2) (a^3 + 2)

24) a^4 — b^4 = (a — b) (a + b) (a^2 + b^2)

25) x^4 — 16 = (x — 2) (x +2) (x^2 + 4)

26) c^4 — 1 = (c — 1) (c + 1) (c^2 + 1)

27) 1 — 16a^4 = (1 — 2a) (1 + 2a) (1 + 4a^2)

28) 49 — b^10 = (7 — b^5) (7 + b^5)

29) 9y^4 — 0,04z^6 = (3y^2 — 1/5z^3) (3y^2 + 1/5z^3)

30) 2 2/49 x^3 — y^2/9 = 100/49x^3 — y^2/9

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