Question

Answer 1

\(5\left(3x^{n+1}-y^{n-1}\right)-3\left(x^{n+1}+5y^{n-1}\right)+4\left(-x^{n+1}+2y^{n-1}\right)\)

\(=15x^{n+1}-5y^{n-1}-3x^{n+1}-15y^{n-1}-4x^{n+1}+8y^{n-1}\)

\(=8x^{n+1}-12y^{n-1}\)

Answer 2

\(5\left(3x^{n+1}-y^{n-1}\right)-3\left(x^{n+1}+5y^{n-1}\right)+4\left(-x^{n+1}+2y^{n-1}\right)\)

\(=15x^{n+1}-5y^{n-1}-3x^{n+1}-15y^{n-1}-4x^{n+1}+8y^{n-1}\)

\(=8x^{n+1}-12y^{n-1}\)

\(=8x^n+8x-12y^n+12y\)

\(=4\left(2x^n-3y^n+2x+3y\right)\)