Question

如果x的4m+n次方除以x的3m-n=x的5次方 求m的平方+4mn+4n的平方-13的值

Answer 1

X^(4m+n)/X^(3m-n)=X^5 => 4m+n-(3m-n)=5 => m+2n=5

另：m^2+4mn+4n^2=(m+2n)^2=25

所以m^2+4mn+4n^2-13=25-13=12