Question

Which expression is equal to f(x) times g(x)?

Answer 1

Option (C)

Explanation:

Given : f(x) =
`√(x^2+12x+36)`

g(x) = x³ - 12

f(x).g(x) = f(x) × g(x)

=
`(√(x^2+12x+36))* (x^3-12)`

=
`(√((x+6)^2))* (x^3-12)`

= (x + 6)(x³ - 12)

= x(x³ - 12) + 6(x³ - 12) [Distributive property]

= x⁴ - 12x + 6x³ - 72

= x⁴ + 6x³ - 12x - 72

Therefore, option (C) will be the answer.