Question

factorise :1331a3+1728b3​

Answer 1

1331a^3 + 1728b^3

(11a)^3 + (12b)^3

Now a^3 + b^3 = (a+b)(a^2 - ab + b^2)

(11a + 12b)(121a^2 - 132ab + 144b^2)

Answer: (11a + 12b)(121a^2 - 132ab + 144b^2)

Answer 2

Given Expression :-

$\begin{gathered}\\\quad\longrightarrow\quad \sf 1331a^3+1728b^3 \\\end{gathered}$

Formula:-

$\begin{gathered}\\\quad\longrightarrow\quad \sf a^3 + b^3 = (a + b) (a^2 - ab + b^2). \\\end{gathered}$

Solution:-

$\begin{gathered}\\\quad\longrightarrow\quad \sf 1331a^3+1728b^3 \\\end{gathered}$

$\begin{gathered}\\\quad\longrightarrow\quad \sf (11a)^3+(12b)^3 \\\end{gathered}$

$\begin{gathered}\\\quad\longrightarrow\quad \sf (11a+12b)((11a)^2-11a.12b+(12b)^2)\quad(Applying\:formula)\\\end{gathered}$

$\begin{gathered}\\\quad\longrightarrow\quad \sf (11a+12b)(121a^2-132ab+144b^2)\\\end{gathered}$