Question

Simplify (a + b) (c – d) + (a – b) (c + d) + 2 (ac + bd)
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Answer 1

simplify ( a + b ) + ( a - b ) ( c + d ) + 2 (ac + bd )

( a + b ) + ( a - b ) ( c + d ) + 2 ( ac + bd )

now we multiply each other

= a ( c - d ) + b ( c - ď ) + a ( c + d ) - b ( c + d ) + 2 ( ac + bd )

= ac - ad + bc - bd + ac + ad - bc - bd + 2 ac + 2 bd

= 2ac - 2bd + 2ac + 2bd

= 4ac

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