Question

What is `(ax+by)(cx+dy)`?

Answer 1

If you are asking for the expansion, it is as follows.

Explanation:

`(ax+by)(cx+dy) = ax xxcx + ax xxdy + by xxcx + by xxdy`

`=acx^2 + adxy+bcxy+bdy^2`

`= acx^2 + (ad+bc)xy+bdy^2`

Answer 2

`(ax+by)(cx+dy) = acx^2+adxy+bcxy+bdy^2`

Explanation:

Multiplying binomials with the same exponent on multiple coefficients(EX: `ax`; `cx`) will result in the variable `(x)` being given a power of `2` and the coefficients `(a; c)` combining through multiplication. EX:

`ax xx cx = acx^2`

When variables are different they are also put together at the end of the term. EX:

`ax xx dy = adxy`