Question

已知单项式M与多项式16x^2+1的和是一个整式的平方,请你给出5个符合要求的单项式M.

Answer 1

16x^2+1+8x=(4x+1)^2 m=8x

16x^2+1-8x=(4x-1)^2 m=-8x

16x^2+1+1/16x^2+1=(4x+1/4x)^2 m=1+1/16x^2

16x^2+1+1/16x^2-3=(4x-1/4x)^2 m=3-1/16x^2

16x^2+1+64x^2=(8x^2+1)^2 m=64x^4