Question

the movement of the progress bar may be uneven because questions can be worth more or less (including zero). simplify: $-14cd - 2c^2d^2 + 15cd + 9c^2d^2 - 15cd$ $7c^4d^4 - 14c^3d^3$ $-7c^7d^7$ $7c^2d^2 - 14cd$ $11c^2d^2 + 44cd$

Explanation:

Step1: Combine like terms for \(cd\) terms

Identify the terms with \(cd\): \(-14cd\), \(+15cd\), \(-15cd\).
Sum them: \(-14cd + 15cd - 15cd = (-14 + 15 - 15)cd = -14cd\).

Step2: Combine like terms for \(c^2d^2\) terms

Identify the terms with \(c^2d^2\): \(-2c^2d^2\), \(+9c^2d^2\).
Sum them: \(-2c^2d^2 + 9c^2d^2 = (-2 + 9)c^2d^2 = 7c^2d^2\).

Step3: Combine the results

Combine the simplified \(c^2d^2\) and \(cd\) terms: \(7c^2d^2 - 14cd\).

Answer:

\(7c^2d^2 - 14cd\) (corresponding to the option " \(7c^2d^2 - 14cd\) ")