Factorize completely 8a + 125ax3
-
A.
(2a + 5x2)(4 + 26ax) -
B.
a(2 + 5x)(4 – 10x + 25x2) -
C.
(2a + 5x)(4 – 10ax + 25x2) -
D.
a(2 + 5x)(4 + 10ax + 25x2)
Correct Answer: Option B
Explanation
(8a + 125ax^{3} = (2^{3})a + 5^{3} ax^{3})
= (a(2^3 + 5^3 x^3))
∴(a[2^3 + (5x)^3])
(a^3 + b^3 = (a + b)(a^2 – ab + b^2))
∴ (a(2^3 + (5x)^3))
= (a(2 + 5x)(4 – 10x + 25x^2))