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Formula use:
\left(a+b\right)^3=\left(a+b\right)\left(a^2+2ab+b^2\right)
Given expression is: 27a^3b^3+{108ca}^2b^3+144ac^2b^3+64b^3c^3
Factorize
27a^3b^3+{108ca}^2b^3+144ac^2b^3+64b^3c^3
\rightarrow\left(3ab\right)^3+3.\left(3ab\right)^2.4bc+3.3ab.\left(4bc\right)^2+\left(4bc\right)^3
\rightarrow\left(3ab+4bc\right)^3
\therefore\left(3ab+4bc\right)\left(9a^2b^2+24abcd+16b^2c^2\right)
Ans: \left(3ab+4bc\right)\left(9a^2b^2+24abcd+16b^2c^2\right)
