Question

(2a5-54a2) Factorise that by using suitable identity

Answer 1

$(2a^{5} - 54a^{2}) \\= 2a^{2}(a^{3}-27)\\= 2a^{2}(a^{3} - 3^{3}) \\= 2a^{2}( a-3)(a^{2}+a\times3+3^{2})\\=2a^{2}( a-3)(a^{2}+3a+9)$

Therefore.,

$\red{(2a^{5} - 54a^{2}) }\green{=2a^{2}( a-3)(a^{2}+3a+9)}$

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