How do you expand and simplify #(x-6)(6x+2)-5(x-3)^2#?

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Answer 1 · 2016-06-05T19:19:37

#x^2-4x-57#

BEDMAS (aka PEMDAS) and FOIL will be a big part of finding the solution:

#(x-6)(6x+2)-5(x-3)^2#

#(6x^2+2x-36x-12)-5((x-3)(x-3))#

#(6x^2-34x-12)-5(x^2-3x-3x+9)#

#6x^2-34x-12-5(x^2-6x+9)#

#6x^2-34x-12-5x^2+30x-45#

group like terms

#x^2-4x-57#