Question

(759)^2+(41)^2 using identity

Answer 1

$\huge\red{\mathfrak{\underline{\underline{AnSwer:-}}}}$

The given question can be solved with the use of algebraic identity.

$\large{\boxed{\tt a^2 \: + \: b^2 \: = (a+b) ^2 \: -\: 2ab}}$

Here, a =759 and b= 41

Now;

putting the value of a and b in identity.

$\rule{300}{2}$

$\large\leadsto\ (759)^2 \: + \: (41)^2 \: = \: (759 +41)^2 \: - \: 2 \times\ 759 \times\ 41 \\ \\ \large\leadsto\ (759)^2 \: + \: (41)^2 \: = \: 640000 \: - \: 62238 \\ \\ \large\leadsto\ (759)^2 \: + \: (41)^2 \: = \: 577762$