The expression matches the identity form of a cube + b cube + c cube – 3abc where a = x, b = y and c = 4. Since the sum a + b + c equals 0, the entire value becomes 0.
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We rearrange the given polynomial expression into the standard conditional cubic identity template. We can rewrite the mathematical statement as x cube + y cube + (4) cube minus 3 times x times y times 4. This matches the identity where the three components are x, y and 4. The identity states that if the sum of these three numbers equals zero, the total expression equals zero. Since x + y = -4, the sum x + y + 4 equals zero, making the value 0.
For more NCERT Solutions for Class 9 Maths Ganita Manjari Chapter 4 Exploring Algebraic Identities (2026-27):
https://www.tiwariacademy.com/ncert-solutions/class-9/maths/ganita-manjari-chapter-4/