Four mark exericse problems I — task. Mathematics State Board, Class 8.

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Factorise the following expressions using \((a + b)^3 = a^3 + 3a^2b + 3ab^2 + b^3\) identity.

1. \(64x^3 + 144x^2 + 108x + 27 =\)

\((4x - 3)^3\)
\((3x + 4)^3\)
\((3x - 4)^3\)
\((4x + 3)^3\)

2. \(27p^3 + 54p^2q + 36pq^2 + 8q^3 =\)

\((2p - 3q)^3\)
\((3p + 2q)^3\)
\((2p + 3q)^3\)
\((3p - 2q)^3\)

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