Câu 1:
a) (a+2)² -(a+2)(a-2)
=a²+4a+4-a²+4 =4a+8
b)(4x²+y²)(2x+y)(2x-y)
=(4x²+y²)(4x²-y²)=16x⁴ -y⁴
c)(3x+4)² -10x-(x-4)(x+4)
= 9x² +24x+16 -10x-x²+16
=8x²+14x+32
d)(x+1)(x-2)(x²+1)(x+2)(x-1)(x²+4)
=(x+1)(x-1)(x-2)(x+2)(x²+1)(x²+4) {từ đây bạn triển khai ra lm nhe }
Bài 7:
Ta có: \(x^2-4x+5\)
\(=x^2-4x+4+1\)
\(=\left(x-2\right)^2+1\ge1\forall x\)
Dấu '=' xảy ra khi x=2
Bài 4:
Ta có: \(x\left(x^2+x+1\right)-x^2\left(x+1\right)-x+5\)
\(=x^3+x^2+x-x^3-x^2-x+5\)
=5