Question

Simplify: (a+b) (c-d) + (a-b) (c+d) +2 (ac+bd)​

Answer 1

hope this solution helps you...

Answer 2

Question:

$Simplify:$

$\big[(a+b) (c-d)\big]+\big[ (a-b) (c+d)\big]+\big[2 (ac+bd)\big]$

To find:

★ To find the value of given expression.

Answer:

$The \: value \: of \: the \: expression \: is \: \underline{ \: \underline{ \: \sf \pink{ 4ac} \: } \: }$

Given:

★ An expression is given,

$\sf{\big[(a+b) (c-d)\big]+\big[ (a-b) (c+d)\big]+\big[2 (ac+bd)\big]}$

Step-by-step explanation:

$\sf\big[(a+b) (c-d)\big]+\big[ (a-b) (c+d)\big]+\big[2 (ac+bd)\big]$

$\sf \implies \big[ac \bold{ - ad + bc} - bd\big] + \big[ac \bold{ + ad - bc} - bd\big] + 2ac + 2bd$

$\sf\implies 2ac \bold{ - 2bd} + 2ac \bold{ + 2bd}$

$\implies \underline{ \: \boxed{ 4ac} \: }$

$\therefore The \: value \: of \: the \: expression \: is \: \underline{ \: \underline{ \: \sf \pink{ \bold{4ac}} \: } \: }$