Question

By how much is x${}^4$ + 4x${}^2$y${}^2$ + y${}^4$ more than x${}^4$ - 8x${}^2$y${}^2$ + y${}^4$ ?

• A. -12x${}^2$y${}^2$
• B. 12x${}^2$y${}^2$
• C. 2x${}^4$ + 2y${}^4$
• D. None of these

Answer 1

The correct option is B 12x${}^2$y${}^2$

(x⁴ + 4x²y² + y⁴) - (x⁴ - 8x²y² + y⁴)
= x⁴ + 4x²y² + y⁴ - x⁴ + 8x²y² - y⁴
= 12 x²y²