Use suitable identities to find the products : $(3-2 x)(3+2 x)$
$(3-2 x)(3+2 x)$
Using the identity $(a+b)(a-b)=a^{2}-b^{2},$ we have :
$(3-2 x)(3+2 x)=(3)^{2}-(2 x)^{2}=9-4 x^{2}$
Find the value of the polynomial $5x -4x^2+ 3$ at $x = -\,1$.
Factorise : $8 a^{3}+b^{3}+12 a^{2} b+6 a b^{2}$
Verify whether the following are zeroes of the polynomial, indicated against them.
$p(x)=3 x^{2}-1,\,x=-\,\frac{1}{\sqrt{3}},\, \frac{2}{\sqrt{3}}$
Verify that $x^{3}+y^{3}+z^{3}-3 x y z=\frac{1}{2}(x+y+z)\left[(x-y)^{2}+(y-z)^{2}+(z-x)^{2}\right]$
Which of the following expressions are polynomials in one variable and which are not ? State reasons for your answer. $4 x^{2}-3 x+7$.
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