How do you combine like terms in #(x + 4) ( x + 3) - ( x - 4) ( x + 11)#?

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Answer 1 · 2016-11-16T22:50:52

#56#

Step 1) Multiple the terms in parenthesis:

#(x^2 + 4x + 3x + 12) - (x^2 - 4x + 11x - 44) =>#

#(x^2 + 7x + 12) - (x^2 + 7x - 44)#

Step 2) Add common terms across the parenthesis:

#x^2 + 7x + 12 - x^2 - 7x + 44 =>#

#(x^2 - x^2) + (7x - 7x) + (12 + 44) =>#

#0 + 0 + 56#

#56#