Question

. (5a-3b)^3 ஐ ‌‌வி‌ரி‌த்தெழுதுக

Answer 1

விளக்கம்:

$(x-y)^{3}=x^{3}-3 x^{2} y+3 x y^{2}-y^{3}$

$a=5a,b=3b$ எனப் பிரதியிட

$\begin{aligned}&(5 a-3 b)^{3}=(5 a)^{3}-3(5 a)^{2}(3 b)+3(5 a)(3 b)^{2}-(3 b)^{3}\end{aligned}$

$\begin{aligned}&x^{3}+y^{3}+z^{3}-3 x y z \equiv(x+y+z)\((x^{2}+y^2+z^{2}-x y-y z-z x)\end{aligned}$

$\begin{aligned}&=125 \mathrm{a}^{3}-3\left(25 \mathrm{a}^{2}\right)(3 \mathrm{b})+3(5 \mathrm{a})\left(9 \mathrm{b}^{2}\right)-(3 b)^{3}\end{aligned}$.