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

$x^2-4x-57$

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