TBQ - Simplify the following - III — task. Maths CBSE Live product, Class 9 (2026-27).

Find the values using suitable identities:

\frac{x^{3} + {27 y}^{3}}{x^{2} -5 x y -24 y^{2}}

\(=\)

\frac{i^{i} + i i y + i i^{i}}{i + i i}

Identities used:

\(a^3 + b^3 = (a + b)(a^2 - ab + b^2\)
\(a^2 - b^2 = (a + b)(a - b)\)
\(a^3 - b^3 = (a - b)(a^2 + ab + b^2\)
\((a - b)^2 = a^2 - 2ab + b^2\)
\((a + b)^2 = a^2 + 2ab + b^2\)

[Note: Enter numbers and variables in separate boxes. Also, insert minus '\(-\)' if necessary.]

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8. TBQ - Simplify the following - III