Question

(х-у)(х+у)(х^2+у^2)

Answer 1

Объяснение:

повинно допомогти;-)

Answer 2

The expression you've provided is a product of three binomials:

(х - у)(х + у)(х² + у²)

To simplify this expression, you can use the difference of squares and the sum of cubes formulas:

1. Difference of Squares: $a^2 - b^2 = (a + b)(a - b)$
2. Sum of Cubes: $a^3 + b^3 = (a + b)(a^2 - ab + b^2)$

Applying these formulas:

1. $(х - у)(х + у) = х^2 - у^2$
2. $(х^2 + у^2) = х^2 + у^2$ (already in its simplified form)

Now you have:

$х^2 - у^2$ multiplied by $х^2 + у^2$.

The multiplication of these two terms does not simplify any further, so the simplified expression is:

$х^4 - у^4$.