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

Express =|2b c-a^2c^2b^2c^2 2c a-b^2a^2b 62a^2 2a b-c^2| as square of a determinant of hence evaluate if.

If the sum of the coefficients in the expansion of (b + c)^(20) {1 +(a -2) x}^(20) is equal to square of the sum of the coefficients in the expansion of [2 bcx - (b + c)y]^(10) , where a, b, c are positive constants, then

The sum of the squares of the perpendiculars on any tangents to the ellipse (x^2)/(a^2)+(y^2)/(b^2)=1 from two points on the minor axis each at a distance a e from the center is (a) 2a^2 (b) 2b^2 (c) a^2+b^2 a^2-b^2

Find the roots of the equation a^2x^2-3a b x+2b^2=0 by the method of completing the square.

If the expression a^(2)(b^(2)-c^(2))x^(2)+b^(2)(c^(2)-a^(2))x+c^(2)(a^(2)-b^(2)) is a perfect square, then

If the expression x^2+2(a+b+c)x+3(bc+ca+ab) is a perfect square then

Two squares have sides x c m and (x+4) . The sum of their areas is 656 c m^2 . Find the sides of the squares.

Two squares have sides x c m and (x+4) . The sum of their areas is 656 c m^2 . Find the sides of the squares.