Squared Linear Denominators (Edexcel A-Level Mathematics): Flashcards

$(ax + b)^2$ is the common form of squared linear denom.

Factor and cancel common linear factors in numerator/denominator.

The common denominator is $(x + 1)^2$ itself.

Multiply by the square to eliminate the fractions.

Assume a form with constants over the linear factors.

Set up equations by substituting values or equating coefficients.

Rewrite to a common denominator and combine terms.

Simplify and rearrange the resulting equation.

Rearrange to $0 = 3x^2 - 17x + 20$ and factor or use quadratic.

Use the quadratic formula to solve for $x$.