Express `(1+a^2)(1+b^2)` as the sum of two squares.

Express (1 + a^2)(1 + b^2)(1+c^2) as the sum of two squares.

Let's apply, (a+b)^2 + (a-b)^2 = 2(a^2 + b^2) or (a+b)^2-(a -b)^2 =4ab or ab = (frac(a+b)(2))^2 - (frac(a-b)(2))^2 to find the following. Let's express 8x^2 + 50y^2 as the sum of two squares.

Express (1+a^(2))(1+b^(2))(1+c^(2)) as the sum of two squares.

Express (1+a^(2))(1+b^(2))(1+c^(2)) as the sum of two squares.

Express (x^(2)+a^(2))(y^(2)+b^(2))(z^(2)+c^(2)) as the sum of two squares.

Express [{:(1, 5), (-1, 2)] as the sum of symmetric and skew symmetric matrices.

Express A=((1,2),(2,3) as the sum of a symmetric and a skew symmetric matrix.

Express each of the following expressions as the sum of two squares: (1+x^(2))(1+y^(2))(1+z^(2))

Express each of the following expressions as the sum of two squares: (1+x^(2))(1+y^(2))