Question

(2x - x1)² + (y2 - y1)²​

Answer 1

when you square a binomial, you have to expand and FOIL it

(2x - x)(2x - x) = 4x² - 2x² - 2x² + x² → x²

(y² - y)(y² - y) = y⁴ - y³ - y³ + y² = y⁴ - 2y³ + y²

add the expressions

x² + y⁴ - 2y³ + y²

this cannot be further simplified, so arrange into standard form

y⁴ - 2y³ + x² + y²

Explanation:

Answer 2

y⁴ - 2y³ + x² + y²

Explanation:

when you square a binomial, you have to expand and FOIL it

(2x - x)(2x - x) = 4x² - 2x² - 2x² + x² → x²

(y² - y)(y² - y) = y⁴ - y³ - y³ + y² = y⁴ - 2y³ + y²

add the expressions

x² + y⁴ - 2y³ + y²

this cannot be further simplified, so arrange into standard form

y⁴ - 2y³ + x² + y²