Expand `4(a^2 +b^2 + x^2) -10(a+b)x + 17ab`

, (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 find 8xy( x^2 + y^2 ) when (x+y) = 5 and (x-y) = 1

x^(2)+2ab=(2a+b)x

Solve for 'x' and 'y': (a -b) x + (a + b) y =a^2 - b^2 - 2ab (a + b) (x + y) = a ^2+ b^2

Find (a^(4) +b^(4))/(a^(2)-ab sqrt2 + b^(2)) , if x= a^(2) + b^(2) and y= ab sqrt2

Solve: (a - b )x + (a + b)y = a^(2) - 2ab - b^(2) and (a + b) (x + y) = a^(2) + b^(2)

Expand (x- a)(x - b). If x^2 -7x + 12 = (x-a) (x-b) then find a+b. Also find ab Calculate the values of a, b.Write the factors of (x^2-7x+12 ) .Find the solutions of (x^2 -7x+12) .

(5x + 2y) ( 5x - 2y) can be simplified using the identity. a. (x +b) ^(2) = a ^(2) + 2 ab + b ^(2) b. (x -b) ^(2) = a ^(2) - 2 ab + b ^(2) c. (a +b)(a -b) = a ^(2) - b ^(2) d. none

Solve for 'x' and 'y': (a -b) x + (a + b) y =a^2 - b^2 - 2ab and (a + b) (x + y) = a ^2+ b^2