Question

Simplify the expression ( 4a - 3b)2 + ( 3b + 4a )2

Answer 1

Step-by-step explanation:

$\\ \qquad\quad\sf{:}\longrightarrow (4a-3b)^2+(3b+4a)^2$

$\\ \qquad\quad\sf{:}\longrightarrow (4a-3b)+(4a+3b)^2$

$\\ \qquad\quad\sf{:}\longrightarrow 4a^2-2(4a)(3b)+3b^2+4a^2+2(4a)(3b)+3b^2$

$\\ \qquad\quad\sf{:}\longrightarrow 16a^2-24ab+9b^2+16a^2+24ab+9b^2$

$\\ \qquad\quad\sf{:}\longrightarrow 16a^2+16a^2+9b^2+9b^2$

$\\ \qquad\quad\sf{:}\longrightarrow 32a^2+18b^2$