Question

若|m-4|与n*n-8n+16为相反数,把多项式a*a+4b*b-mab-n分解因式

Answer 1

|m-4|与n*n-8n+16为相反数

|m-4|=-(n*n-8n+16)

|m-4|+(n-4)^2=0

|m-4|>=0 (n-4)^2>=0

所以

m-4 n-4=0

m=n=4

a*a+4b*b-mab-n=a^2+4b^2-4ab-4

=a^2-4ab+4b^2-4

=(a-2b)^2-2^2

=(a-2b+2)(a-2b-2)

祝你春节快乐