How do you multiply #(a + b)(c + d)#?

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Answer 1 · 2016-10-10T16:58:30

#(a+b)(c+d)=ac+bc+ad+bd#

To multiply #(a+b)(c+d)#,

let us first consider #(a+b)# as single number

and applying distributive property.

#(a+b)(c+d)#

= #(a+b)xxc+(a+b)xxd#

Now on each of the two i.e. #(a+b)xxc# and #(a+b)xxd#

can again be simplified using distributive property, as follows

#axxc+bxxc+axxd+bxxd#

= #ac+bc+ad+bd#