Question

Zapisz w postaci iloczynu:

a)x² -4y²

b)100a² - 64

c)-z² + 25w²

Answer 1

a)x² -4y² =  (x)² - (2y)² = (x - 2y)(x + 2y)

b)100a²  - 64 = (10a)² - 8² = (10a - 8)(10a + 8)

c)-z²  + 25w² = 25w² - z² = (5w)² - (z)² = (5w - z)(5w + z)

wzór: a² - b² = (a - b)(a  +b)

Answer 2

a)

x^2-4y^2=(x+2y)*(x-2y)

 

b)

100a^2-64=(10a+8)*(10a-8)

 

c)

-z^2+25w^2=(5w+z)*(5w-z)