[(2x+3)+(x+5)]^(2)+[(2x+3)-(x+5)]^(2)=10x^(2)+92

Solve each of the following equations and also check your result in each case: 6. 5 x+(19. 5 x-32. 5)/2=6. 5 x+13+((13 x-26)/2) (3x-8)(3x+2)-\ (4x-11)\ (2x+1)=(x-3)x+7) [(2x+3)+(x+5)]^2+[(2x+3)-(x+5)]^2=10 x^2+92

Solve each of the following equations and also check your result in each case: 6. 5 x+(19. 5 x-32. 5)/2=6. 5 x+13+((13 x-26)/2) (3x-8)(3x+2)-\ (4x-11)\ (2x+1)=(x-3)x+7) [(2x+3)+(x+5)]^2+[(2x+3)-(x+5)]^2=10 x^2+92

(x + 2) ( x- 5) = x^(2) - 3x + 10

(i) (x ^ (3) + 2x ^ (2) + 3x) -: 2x (ii) (10x-25) - :( 2x-5) (iii) (x (x + 1) (x + 2 ) (x + 3)) - :( x (x + 1))

Simplify (x-3)/(x^(2)-x-6) + (2x-1)/(2x^(2) + 5x-3) - (2x +5)/(x^(2) + 5x +6)

Observe the following pattern (1x2)+(2x3)=(2x3x4)/(3)(1x2)+(2x3)+(3x4)=(3x4x5)/(3)(1x2)+(2x3)+(3x4)+(4x5)=(4x5x6)/(3) and find the of (1x2)+(2x3)+(3x4)+(4x5)+(5x6)

If (d)/(dx) (2x^(3)-5)^(10)=(2x^(3)-5)^(9)f(x) , then f(x) is -