Mathematics
Factorise:
24x4 - 375x
Factorisation
1 Like
Answer
Given,
⇒ 24x4 - 375x
⇒ 3x(8x3 - 125)
⇒ 3x[(2x)3 - (5)3]
By using the identity,
(a3 - b3) = (a - b)(a2 + ab + b2)
⇒ 3x(2x - 5)[(2x)2 + 2x × 5 + (5)2]
⇒ 3x(2x - 5)(4x2 + 10x + 25).
Hence, 24x4 - 375x = 3x(2x - 5)(4x2 + 10x + 25).
Answered By
1 Like