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India
Class VIII

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(x6)(x+6)=Ax6+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(xm)(x+m)=Axm+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)(x4)=Ax+5+Bx4

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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Outcomes

8.A.AE.3

Identities (a ± b)^2 = a^2 ± 2ab + b^2, a^2 – b^2 = (a – b) (a + b) Factorisation (simple cases only) as examples the following types a(x + y), (x ± y)^2, a^2 – b^2, (x + a).(x + b)

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