Question

Answer 1

2.1:

A(x):B(x)

\(=\frac{3x^3+13x^2-9x+5}{x+5}\)

\(=\frac{3x^3+15x^2-2x^2-10x+x+5}{x+5}=3x^2-2x+1\)

=>Thương là \(3x^2-2x+1\) , dư là 0

2.2:

\(P=2\left(a^3+b^3\right)-3\left(a^2+b^2\right)\)

\(=2\left\lbrack\left(a+b\right)^3-3ab\left(a+b\right)\right\rbrack-3\left\lbrack\left(a+b\right)^2-2ab\right\rbrack\)

\(=2\left\lbrack1-3ab\right\rbrack-3\left(1-2ab\right)\)

=2-6ab-3+6ab

=2-3

=-1