Here i have part of a question which im unsure about.
Ive been given this: x^2 + 2x(m+1) + (m-3)(m+1) and i have to add the two factors.
How should i go about it?
Thank u in advance
$\displaystyle Let (m+1) = k $
$\displaystyle x^2 + 2xk + (m - 3)k$
But:
$\displaystyle m - 3 = (m + 1) - 4$
$\displaystyle x^2 + 2xk + (k - 4)k $
$\displaystyle x^2 + 2xk + k^2 - 4k$
$\displaystyle x^2 + 2x(k - 2) + k^2$
But:
$\displaystyle k = m+1$
$\displaystyle x^2 + 2x(m + 1 - 2) + (m + 1)^2$
$\displaystyle x^2 + 2x(m - 1) + (m + 1)^2$
$\displaystyle x^2$ + x(2m - 2) + $\displaystyle (m + 1)^2$
Is this what you wanted?