Question

Expand the binomial (2x^2+y^2)^4. Fill in the missing coefficients in the expansion of the binomial .

16x^8+____x^6 y^2+_____x^4 y^4 + 8x^2 y^6 + y^8

Answer 1

Expanding (2x² + y²)⁴ with Pascal triangle or using binomial theorem gives:

(2x² + y²)⁴ = 16x⁸ + 32x⁶y² + 24x⁴y⁴ + 8x²y⁶ + y⁸