How do you simplify #(2x - 3) ^ { 2} + ( x - 5) ( x + 5) - ( x + 4)#?

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Answer 1 · 2018-04-15T10:09:21

#=5x^2-13x-20#

#(2x-3)^2=(2x-3)(2x-3)#

#=># #4x^2-6x-6x+9#

#=># #4x^2-12x+9#

#(x-5)(x+5)=x^2+5x-5x-25#

#=># #=x^2-25#

So if we put these altogether

#[4x^2-12x+9]+[x^2-25]-(x +4)#

#=4x^2-12x+9+x^2-25-x-4#

#=5x^2-13x-20#