Question

If (x²y + y² + 3) is subtracted from (3x²y + 2y² + 5), then coefficient of y in the result is ______.

Answer 1

If (x²y + y² + 3) is subtracted from (3x²y + 2y² + 5), then coefficient of y in the result is `bb(underline(2x^2))`.

Explanation:

(x² + y² + 3) is subtracted from (3x²y + 2y² + 5)

= (3x² + 2y² + 5) – (x²y + y² + 3)

= 3x²y + 2y² + 5 – x²y – y² – 3

= (3x²y – x²y) + (2y² – y²) + (5 – 3)

= 2x²y + y² + 2