Question

(a-x) (x2-y2) - (x-y) (a2-x2)

Answer 1

Ответ:

=ax2-ay2+xy2-a2 x+a2 y-x2y

Объяснение:

Answer 2

Let's simplify the given expression step by step:

1. Distribute the terms within the parentheses:

   (a - x)(x^2 - y^2) - (x - y)(a^2 - x^2)

2. Apply the difference of squares identity: $x^2 - y^2 = (x + y)(x - y)$ and $a^2 - x^2 = (a + x)(a - x)$:

   (a - x)(x + y)(x - y) - (x - y)(a + x)(a - x)

3. Factor out the common factor of (x - y):

   (x - y)[(a - x)(x + y) - (a + x)(a - x)]

4. Distribute the terms within the brackets:

   (x - y)[ax + ay - x^2 - xy - a^2 + ax + ax - x^2]

5. Combine like terms:

   (x - y)[2ax + ay - 2x^2 - xy - a^2]

So, the simplified expression is:

$(x - y)[2ax + ay - 2x^2 - xy - a^2]$