factorize 3x⁴ + 12y⁴
You asked:
Factor the expression: \(\displaystyle 3 \cdot {x}^{4} + 12 \cdot {y}^{4}\)
MathBot Answer:
The polynomial factors into the product: \[3 \cdot {x}^{4} + 12 \cdot {y}^{4} = 3 \left(x^{2} - 2 x y + 2 y^{2}\right) \left(x^{2} + 2 x y + 2 y^{2}\right)\]