Question

若多项4X的平方-(M-1)乘以XY的平方+9/16乘以Y的4次方是完全平方式,求M的值

Answer 1

4x^2-(m-1)xy^2+(9/16)y^4

=[2x-(3/4)y^2]^2

=4x^2-3xy^2+(9/16)y^4

所以m-1=3,m=4