Which of the following is x⁴ + y⁴ identically equal to?
(a) (x² + y²)(x + y)(x - y)
(b) (x² + xy + y²)(x² - xy + y²)
(c) (x² + √2xy + y²)(x² - √2xy + y²)
(d) (x² + √3xy + y²)(x² - √3xy + y²)
(e) (x + y)²(x-y)²
can someone explain me how to make it step by step?

The length of a rectangle is x times the square root of 100. the width is one-half y more than three-halves x. given that the area of the rectangle is 125 cm2, which equation could represent the rectangle in terms of x and y? a) 5xy − 15x = 125 b) 5xy + 15x = 125 c) 15x2 − 5xy = 125 d) 15x2 + 5xy = 125

Astore has clearance items that have been marked down by 60%. they are having a sale, advertising an additional 55% off clearance items. what percent of the original price do you end up paying?

Solve the following simultaneous equation by using an algebraic method (either substitution or elimination) 2x + 3y=-4 4x-y=11