List of top Quantitative Aptitude Questions on Algebraic Identities

Find the square root of $4a^2 + 9b^2 + c^2 + 12ab - 6bc - 4ac$.
If $x + y + z = 0$, then what is the value of $(x + y)(y + z)(z + x)$?
Find the value of \(0.081^3 + 0.009^3 + 0.002187 \times 0.09\).
Find the value of \(2a^3 - [3a^3 + 4a^2 - \{2a^3 - 7a^3\} + 5a^3 - 7a^2]\).
Solve: $8796 \times 223 + 8796 \times 77$
If the sum and difference of two numbers is 20 and 8 respectively, then the difference between their squares shall be:
If \( x^2 + y^2 + z^2 = 3 \), which of the following cannot be the value of \( xy + yz + zx \)?
What number must be added to \(16a^2 - 12a\) to make it a perfect square?