Question

Answer 1

a: \(=-\left(x^3-3x^2+3x-1\right)+x^3+3x^2+3x+1-6\left(x^2-4\right)+13\)

\(=-x^3+3x^2-3x+1+x^3+3x^2+3x+1-6x^2+24+13\)

=29

b: \(=-\left(x^2-x-6\right)-\left(x^2-1\right)+2x^2-x+3\)

\(=-x^2+x+6-x^2+1+2x^2-x+3=10\)

c: \(=-5\left(x^2+4x+4\right)-2\left(x^2-10x+25\right)+7\left(36-x^2\right)\)

\(=-5x^2-20x-20-2x^2+20x-50+252-7x^2\)

=252-70=182

d: \(=x^2+4xy+4y^2+y^2-4xy+4x^2-5x^2+5y^2-10\left(y^2-9\right)\)

\(=10y^2-10y^2+90=90\)