What is #(-5^2+10^2)/((2*(-5)*3)+3^3)#?

2 Answers
Mar 31, 2017

See the entire solution process below:

Explanation:

First, evaluate the terms with exponents in the numerator and the denominator:

#(-5^2 + 10^2)/((2 * (-5) * 3) + 3^3) = (25 + 100)/((2 * (-5) * 3) + 27)#

Next, multiply, left to right, the terms in parenthesis in the denominator:

#(25 + 100)/((2 * (-5) * 3) + 27) = (25 + 100)/((-10 * 3) + 27) =#

#(25 + 100)/(-30 + 27)#

Then, add the terms in the numerator and add the terms in the denominator:

#125/-3 = -125/3#

Mar 31, 2017

#color(blue)(-41 2/3#

Explanation:

#(-5^2+10^2)/((2*(-5)*3)+3^3)#

#:.=(25+100)/((-30)+27)#

#:.=125/-3#

#:.=color(blue)(-41 2/3#