Question

4. Factorizați fiecare expresie algebrică propusa:
a) 5x² – 2x =
b) x² – 49 =
c) a² +12a +36 =
d)16x²-1=
e) y²-49/64=
f) 4a² – 20a + 25 =
​

Answer 1

Răspuns:

Explicație pas cu pas:

a) 5x² – 2x = x · (5x - 2)

b) x² – 49 = x² – 7² = (x - 7) · (x + 7)

c) a² +12a +36 = a² +12a +6² = (a + 6)²

d) 16x²-1= 4² x² - 1² = (4x)² - 1² = (4x - 1) · (4x + 1)

e) y²-49/64= y² - 7²/8² = y² - (7/8)² = (y - 7/8) · (y + 7/8)

f) 4a² – 20a + 25 = 4a² – 20a + 5² = (2a - 5)²