Equations
Identities and equations
Interactive practice questions
What are the values of $A$A and $B$B that will make the equation an identity?
$\frac{1}{\left(x-6\right)\left(x+6\right)}=\frac{A}{x-6}+\frac{B}{x+6}$1(x−6)(x+6)=Ax−6+Bx+6
a
First solve for the value of $A$A.
b
Solve for the value of $B$B.
Easy
3min
What are the values of $A$A and $B$B that will make the equation an identity?
$\frac{x}{\left(x-m\right)\left(x+m\right)}=\frac{A}{x-m}+\frac{B}{x+m}$x(x−m)(x+m)=Ax−m+Bx+m
Easy
3min
What are the values of $A$A and $B$B that will make the equation an identity?
$\frac{3x}{\left(x+5\right)\left(x-4\right)}=\frac{A}{x+5}+\frac{B}{x-4}$3x(x+5)(x−4)=Ax+5+Bx−4
Medium
4min
What are the values of $A$A and $B$B that will make the equation an identity?
$\frac{x+2}{x^2}=\frac{A}{x}+\frac{B}{x^2}$x+2x2=Ax+Bx2
Hard
3min
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