If a + b – c = 0 then the value of 2b²c² + 2c²a² + 2a²b² –a⁴ – b⁴ – c⁴

$$4a-{4\over a}+3=0$$ then the value of :   $$ a^3-{1\over a^3}+3=?$$

If x² + y² + z² = 2 (x + z – 1), then the value of : x³ + y³ + z³ = ?

Find the area of the triangle whose sides are 5 cm, 12 cm and 13 cm.

The HCF of x⁸ – 1 and x⁴ + 2x³ – 2x – 1 is :

The speed of a train is 108 km/h. The distance covered by the train in 11 seconds will be:

if $${{x^{24}+1}\over x^{12}}=7$$ then the value of   $${{x^{72}+1}\over x^{36}}$$ is

If x = 2 then the value of x³ + 27x² + 243x + 631 is