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

2 Answers
Alex
Apr 9, 2018

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#

Roberto O. · Stefan V.
Apr 9, 2018

#(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#

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