Assertion (A) : The value of k so that the factors of $\Big(x^2 - kx + \dfrac{121}{16}\Big)$ are same is $\dfrac{11}{2}$.

Reason (R) : (x + a) (x + b) = x² + (a + b)x + ab.

1. Both A and R are correct, and R is the correct explanation for A.

2. Both A and R are correct, and R is not the correct explanation for A.

3. A is true, but R is false.

4. A is false, but R is true.

Assertion (A) : There are two values of b so that x² + bx - 24 is factorisable.

Reason (R) : Two values have:

Product = -24 and sum = 2.

1. Both A and R are correct, and R is the correct explanation for A.

2. Both A and R are correct, and R is not the correct explanation for A.

3. A is true, but R is false.

4. A is false, but R is true.

Factorise :

36x²y² - 30x³y³ + 48x³y²

Factorise :

8(2a + 3b)³ - 12(2a + 3b)²