Question

Factor the expression. k2 + 5kf – 50f2

a)(k + 10f)(k + 5f)

b)(k – 10f)(k + 5f)

c)(k + 10f)(k – 5f)

d)(k – 10f)(k – 5f)

Answer 1

C...........................

Answer 2

Answer: The correct option is

(C)
`(k+10f)(k-5f).`

Step-by-step explanation: We are given to factor the following quadratic expression :

`E=k^2+5kf-50f^2~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)`

To factor the given expression, we must find two integers with sum 5 and product -50.

The factorization of given expression (i) is as follows :

`E\\\\=k^2+5kf-50f^2\\\\=k^2+10kf-5kf-50f^2\\\\=k(k+10f)-5f(k+10f)\\\\=(k+10f)(k-5f).`

Thus, the required factored form of the given expression is
`(k+10f)(k-5f).`

Option (C) is CORRECT.