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

1 Answer
Jun 5, 2016

Answer:

#x^2-4x-57#

Explanation:

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#