Jammu and Kashmir Board Solutions for Chapter: Algebraic Expressions and Identities, Exercise 14: TRY THESE

Put $-b$ in place of $b$ in Identity ${\left(a+b\right)}^2=a^2+2ab+b^2$. Do you get Identity ${\left(a-b\right)}^2=a^2-2ab+b^2$?

Verify the identity $\left(x+a\right)\left(x+b\right)=x^2+\left(a+b\right)x+ab$ for $a=2, b=3, x=5$.

Consider, the special case of identity $\left(x+a\right)\left(x+b\right)=x^2+\left(a+b\right)x+ab$ with $a=b$. What do you get? Is it related to the Identity ${\left(a+b\right)}^2=a^2+2ab+b^2$?

Consider, the special case of identity $\left(x+a\right)\left(x+b\right)=x^2+\left(a+b\right)x+ab$ with $a=-c$ and $b=-c$. What do you get? Is it related to the Identity ${\left(a-b\right)}^2=a^2-2ab+b^2$?