Answer:
16x⁶ + 56x³y³z⁴ + 49y⁶z⁸
Explanation:
(4x³ + 7y³z⁴)²
We want to simplify the expression. First, let's rewrite the square:
(4x³ + 7y³z⁴) (4x³ + 7y³z⁴)
Now distribute using FOIL (first, outer, inner, last):
(4x³)(4x³) + (4x³)(7y³z⁴) + (7y³z⁴)(4x³) + (7y³z⁴)(7y³z⁴)
Multiply:
16x⁶ + 28x³y³z⁴ + 28x³y³z⁴ + 49y⁶z⁸
Combine like terms:
16x⁶ + 56x³y³z⁴ + 49y⁶z⁸