Question

கீழ்க்காணும் பல்லுறுப்பு கோவையின் மீ.பொ.ம காண்க

(2x^2-3xy^2 )^2,(4x-6 y) ^3,(8 x^ 3-27 y^3)

Answer 1

Answer:

Urdu language is. shown here

Answer 2

பல்லுறுப்பு கோவை:

$(2x^2-3xy^2 )^2,(4x-6 y) ^3,(8 x^ 3-27 y^3)$

தீர்வு:    

$\begin{aligned}\left(2 x^{2}-3 x y\right)^{2}=14 x^{2}-12 x y+&\left.9 y^{2}\right] x^{2}\end{aligned}$

$\begin{aligned}&=x^{2}\left[4 x^{2}-6 x y-6 x y+9 y^{2}\right]\\&=x^{2}[2 x[2 x-3 y]-3 y[2 x-3 y]]\\&=x^{2}[2 x-3 y][2 x-3 y]\\&(4 x-6 y)^{3}=2^{3}(2 x-3 y)^{3}\\&=2^{3}(2 x-3 y)(2 x-3 y)(2 x-3 y)\\&\left(8 x^{3}-27 y^{3}\right) \Rightarrow 2^{3} x^{3}-3^{3} y^{3}\\&=(2 x)^{3}-(3 y)^{3}\end{aligned}$

$\begin{aligned}&=[2 x-3 y]\left[(2 x)^{2}+6 x y+(3 y)^{2}\right]\\&=(2 x-3 y)\left[4 x^{2}+6 x y+9 y^{2}\right]\end{aligned}$

$\begin{aligned}&\therefore\left(2 x^{2}-3 x y\right)^{2}=x^{2}[2 x-3 y] [ 2 x-&3 y]\end{aligned}$

$(4 x-6 y)^{3} =2^{3}(2 x-3 y)(2 x-3 y) (2 x-3 y) \\ \left(8 x^{1}-27 y^{3}\right)=(2 x-3 y)\left(4 x^{2}+6 x y+\right. 9 y^{2}$

மீ.பொ.ம

$\begin{aligned}&\therefore \Rightarrow 2^{3} \mathrm{x}^{2}(2 \mathrm{x}-3 \mathrm{y})(2 \mathrm{x}-3 y)(2 x-3 y)\left(4 x^{2}+6 x y+9 y^{2}\right)\\&2^{3} x^{2}(2 x-3 y)^{3}\left(4 x^{2}+6 x y+9 y^{2}\right)\end{aligned}$