Rearranging the conditional constraint gives x – 2y – 6 = 0. The polynomial can be formatted as x cube + (-2y) cube + (-6) cube – 3(x)(-2y)(-6), which evaluates directly to 0 because the base sum is 0.
Share
Lost your password? Please enter your email address. You will receive a link and will create a new password via email.
Rearranging the conditional constraint gives x – 2y – 6 = 0. The polynomial can be formatted as x cube + (-2y) cube + (-6) cube – 3(x)(-2y)(-6), which evaluates directly to 0 because the base sum is 0.
We analyze the given conditional equation by moving terms to one side, which gives the simplified statement x – 2y – 6 = 0. Now, we rewrite the main polynomial expression using these exact bases, formatting it as x cube + (-2y) cube + (-6) cube minus 3 times x times (-2y) times (-6). According to algebraic conditions, when the sum of three base terms is equal to zero, the sum of their individual cubes minus three times their product automatically equals zero. Thus, the answer is 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/