Разложите на множители: 1) х²-4 2) 25-9 а² 3) 36m²-100n² 4) 0,04p²-1,69q² 5) x²y² - 4/9 6) а⁴ - в^6 7) 0,01 с² - в^8

1) х^2 - 4 = (х) ^2 - (2) ^2 = (х-2) (х+2)

2) 25 - 9 а^2 = (5) ^2 - (3 а) ^2 = (5-3 а) (5+3 а)

3) 36m^2 - 100n^2 = (6m) ^2 - (10n) ^2=

= (6m - 10n) (6m+10n)

4) 0,04p^2-1,69q^2 = (0.2p) ^2-

- (1.3q) ^2 = (0.2p - 1.3q) (0.2+1.3q)

5) x^2y^2 - 4/9 = (xy) ^2 - (2/3) ^2 =

= (xy - 2/3) (xy+2/3)

6) а^4 - в^6 = (а^2) ^2 - (в^3) ^2 =

= (а^2 - в^3) (а^2 + в^3)

7) 0.01 с^2 - в^8 = (0.1 с) ^2 - (в^4) ^2 =

= (0.1 с - в^4) (0.1 с+в^4)