Question

Factorise 216-125x^3 solve the sum​

Answer 1

Answer:

216–125x³

or

(6)³–(5x)³

[∵ a³–b³=(a–b)(a²+ab+b²)]

» (6–5x)((6)²+(6)(5x)+(5x)²)

» (6–5x)(25x²+30x+36) is the correct Factorisation of the given expression.

Answer 2

$216 - 125{x}^{3}$

${6}^{3} - {5x}^{3}$

Now put formula

$(a - b)( {a}^{2} + {b}^{2} + ab)$

$(6 - 5x)( {6}^{2} + {(5x) }^{2} + 5x \times 6)$

$(6 - 5x)( {6}^{2} + {(5x) }^{2} + 30x)$

$(6 - 5x)( {(5x) }^{2} + 30x + 36)$

Use quadratic to solve further