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2. Polynomials
easy
ચકાસો : $x^{3}-y^{3}=(x-y)\left(x^{2}+x y+y^{2}\right)$
Option A
Option B
Option C
Option D
Solution
જ.બા. $=(x-y)\left(x^{2}+x y+y^{2}\right)$
$=x\left(x^{2}+x y+y^{2}\right)-y\left(x^{2}+x y+y^{2}\right)$
$=x^{3}+x^{2} y+x y^{2}-x^{2} y-x y^{2}-y^{3}$
$=x^{3}-y^{3}$
$\therefore $ જ.બા. $=$ ડા.બા.
Standard 9
Mathematics