Question

3 times the sum of r and s squared minus 2 times the sum of r and d square

Answer 1

r^2 + 6rs - 4rd - 2d^2 + 3s^2

Explanation:

3(r+s)^2 - 2(r+d)^2

PEMDAS

parenthesis, exponents, multiplication, division, addition, subtraction

in that order

3( r^2 + 2rs + s^2 ) - 2(r^2+ 2rd + d^2)

3r^2 + 6rs + 3s^2 - 2r^2 - 4rd - 2d^2

r^2 + 6rs - 4rd - 2d^2 + 3s^2