Question

Factorise : 64 x 3 + 144 x 2 + 108 x + 27​

Answer 1

Step-by-step explanation:

hope it help you

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Answer 2

Answer:

$64 x^3 + 144 x^2 + 108 x + 27​ = (4x + 3)^3$

Step-by-step explanation:

Formula :$(a + b)^3 = a^3 + 3a^2b + 3ab^2 + b^3$

$64 x^3 + 144 x^2 + 108 x + 27​\\= (4x)^3 + 3 \times 16(x)^2\times (3) + 3 \times(9)\times(4x) + (3)^3\\= (4x)^3 + 3 (4x)^2 (3) + 3 (4x)(9) + (3)^3$

This is in format  of $a^3 + 3a^2b + 3ab^2 + b^3 = (a + b)^3$

So, $(4x)^3 + 3 (4x)^2 (3) + 3 (4x)(9) + (3)^3 = (4x + 3)^3$