Question

a) (x+2) bình

b) (x-1) bình

c) (x bình+y bình) bình

d) (x mũ 3+2y bình) bình

e) (x bình - y bình) bình

Answer 1

a: \(\left(x+2\right)^2=x^2+4x+4\)

b: \(\left(x-1\right)^2=x^2-2x+1\)

c: \(\left(x^2+y^2\right)^2=x^4+2x^2y^2+y^4\)

d: \(\left(x^3+2y^2\right)^2=x^6+4x^3y^2+4y^4\)

e: \(\left(x^2-y^2\right)^2=x^4-2x^2y^2+y^4\)

Answer 2

a) \(\left(x+2\right)^2=x^2+2.x.2+2^2\)

\(=x^2+4x+4\)

b) \(\left(x-1\right)^2=x^2-2.x.1+1^2\)

\(=x^2-2x+1\)

c) \(\left(x^2+y^2\right)^2=\left(x^2\right)^2+2.x^2.y^2+\left(y^2\right)^2\)

\(=x^4+2x^2y^2+y^4\)

d) \(\left(x^3+2y^2\right)^2=\left(x^3\right)^2+2.x^3.2y^2+\left(2y^2\right)^2\)

\(=x^6+4x^3y^2+4y^4\)

e) \(\left(x^2-y^2\right)^2=\left(x^2\right)^2-2.x^2.y^2+\left(y^2\right)^2\)

\(=x^4-2x^2y^2+y^4\)