What is the factored form of k² + kf – 2f²?

(k – 2f)(k + f)

(k + 2f)(k – f )

(k + 2f )(k + f)

( k – 2f )(k – f)

Question

What is the factored form of k² + kf – 2f²?

(k – 2f)(k + f)

(k + 2f)(k – f )

(k + 2f )(k + f)

( k – 2f )(k – f)

ash2326 · Answer

we have
$$k^2+kf-2f^2$$
let's assume k as a variable and f as a constant
we have to find factors of -2f^2
such that their sum is f
the factors are 2f and -f
so
f=2f-f
we have
$$k^2+k(2f-f)-2f^2$$
or
$$k^2+2kf-kf-2kf^2$$
now let's take common term out
$$k(k+2f)-f(k+2f)$$
we get
$$(k+2f)(k-f)$$

anonymous · Answer

thanks

ash2326 · Answer

megan did you understand?

anonymous · Answer

yes i did, you explained it better than my teacher.

ash2326 · Answer

Thanks but next time you focus on what your teacher teaches, you'd find that he/she is much better than me:)

anonymous · Answer

well, our teacher sometimes gives us questions of things we had not learned yet and she barly explains them, and this is one of them

ash2326 · Answer

megan maybe she had taught you fundamentals and wanted you to try the hard ones yourself:) next time try a problem , I'm sure you'll be able to solve it. If you get stuck head over here:)

anonymous · Answer

ok well i have to go but thanks a lot