Evaluate y(x² – z) / (z – y² + x⁴) if x = 2, y = -4 and z = -3

Explanation

Step 1: Calculate numerator y(x² – z)
x² = 2² = 4
x² – z = 4 – (-3) = 4 + 3 = 7
y(x² – z) = -4 × 7 = -28

Step 2: Calculate denominator components
y² = (-4)² = 16
x⁴ = 2⁴ = 16
z = -3

Step 3: Calculate denominator z – y² + x⁴
= -3 – 16 + 16
= -3

Step 4: Divide numerator by denominator
= -28 / (-3)
= 28/3