Sum of the factors of \( 4b^2c^2 - (b^2 + c^2 - a^2)^2 \) is:

If (a + 1/a) = 7√3, then what is the value of (a⁶ + a⁻⁶)?

If a+b = 5, then the value of (a-3)⁷ + (b-2)⁷ is

If x² - 2x + 1 = 0, then the value of x⁴ + 1/x⁴ is

If 3a = 4b = 6c and a + b + c = 27√29, then √(a² + b² + c²) is equal to

If a/b + b/a = 1, then the value of a³ + b³ is equal to

If p² + q² = 7pq, then the value of p/q + q/p is equal to

If x = 99, then the value of 2(x² + 3x + 3) is equal to

Let C be a circle with centre O and PQ be a minor arc on C. Let R and S be two points on the major arc of PQ on C. If PQ subtends an angle 80° at O, find ∠PRQ and ∠PSQ, respectively.

In the given question, two equations numbered l and II are given. Solve both the equations and mark the appropriate answer.

I. x² – 26x + 165 = 0

II. y² – 38y + 357 = 0

Factorize the following:

(x ²- 6xy + 9y ²) - 25

If P and Q are the points on the line Joining A(-2, 5) and B(3, 1) such that

AP = PQ = QB, then the mid point of PQ is 

If a number and its reciprocal added it becomes 6, then what will be sum of its square and square of its reciprocal?