Question

А)ax-ay+2x-2y б)x^2-64 в)9a^2-16b^2

Answer 1

Ах - ау  + 2х - 2у  = а(х - у)  + 2(х - у) =(а + 2)(х - у)
х²  -  64  = х²  - 8² = (х - 8)(х  + 8)
9а² - 16b² = (3a)²  - (4b)² = (3a - 4b)(3a + 4b) 

Answer 2

А) ах-ау+2х-2у
а×(х-у) +2(х-у)
(х-у)×( а+2)

б)х^2-64
(х-8)×(х+8)

в)9а^2-16b^2
(3а-4b)×(3a+4b )

Answer 3

Sure, let's simplify each expression:

A) ax - ay + 2x - 2y:

First, we can factor out 'a' from the first two terms and '2' from the last two terms:

ax - ay + 2x - 2y = a(x - y) + 2(x - y)

Now, we can factor out (x - y) from both terms:

ax - ay + 2x - 2y = (x - y)(a + 2)

B) x^2 - 64:

This expression is a difference of squares, which can be factored as follows:

x^2 - 64 = (x + 8)(x - 8)

C) 9a^2 - 16b^2:

This expression is also a difference of squares:

9a^2 - 16b^2 = (3a + 4b)(3a - 4b)

So, the simplified forms of the given expressions are:

A) (x - y)(a + 2) B) (x + 8)(x - 8) C) (3a + 4b)(3a - 4b)