Question

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

Answer 1

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

Simplifying, (a + b) (c-d) + (a−b) (c+d) +2 (ac+bd)

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

We multiply each element of these two binomials.

Calculating the ac ad + bc

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

ac - ad + bc-- bd- bc+ad+ 2ac +bd =4ac

calculated like terms.

Hence, the simplification of (a + b) (c-d) + (a−b) (c+d) +2 (ac+bd) is

4ac