Write the given expression after isolating the common factor with the lowest power. Assume all variables belong to ℝ⁺.
11d^-3 +33d^-9

Factor the following polynomial with real coefficients:
361a² - 1/225

Solve for the appropriate value(s) of a that will transform the polynomial 121t² -88t +a into a perfect square.  

Use grouping to factor the following polynomial:

15x² - 24x - 25x + 40

Determine the greatest common factor and factor it out from the given expression: 12x + 30

Using absolute value find out the distance between -13 and 10. Then find the absolute value.

Use factoring and the zero-product principle to solve the given polynomial equation.

4b³ + 8b² = 9b + 18