Question

Bài 2:

a)(3x^n + 1 - 2x^n )4x^2

b) 2(x^2n + 2xnyn+y^2n)-y^n(4x^n+2y^n)

c)(x^2n+xnyn+y^2n)(x^n-y^n)(x^3n+y^3n)

d)4^n+1 - 3.4^n

Answer 1

a: \(4x^2\left(3x^{n+1}-2x^n\right)\)

\(=4x^2\cdot3x^{n+1}-4x^2\cdot2x^n\)

\(=12x^{n+3}-8x^{n+2}\)

b: \(2\left(x^{2n}+2x^ny^n+y^{2n}\right)-y^n\left(4x^n+2y^n\right)\)

\(=2x^{2n}+4x^ny^n+2y^{2n}-4x^ny^n-2y^{2n}\)

\(=2x^{2n}\)

c: \(=\left(x^{3n}-y^{3n}\right)\left(x^{3n}+y^{3n}\right)\)

\(=x^{6n}-y^{6n}\)

d: \(=4^n\cdot4-3\cdot4^n=4^n\)

Answer 2

a: 4x2(3xn+1−2xn)4x2(3xn+1−2xn)

=4x2⋅3xn+1−4x2⋅2xn=4x2⋅3xn+1−4x2⋅2xn

=12xn+3−8xn+2=12xn+3−8xn+2

b: 2(x2n+2xnyn+y2n)−yn(4xn+2yn)2(x2n+2xnyn+y2n)−yn(4xn+2yn)

=2x2n+4xnyn+2y2n−4xnyn−2y2n=2x2n+4xnyn+2y2n−4xnyn−2y2n

=2x2n=2x2n

c: =(x3n−y3n)(x3n+y3n)=(x3n−y3n)(x3n+y3n)

=x6n−y6n=x6n−y6n

d: