CTET Exam - Paper 2 - Algebra

What is the value of a(a + b$^2$ + c) + b$^2$(a$^2$ + b$^2$ + c$^2$) – c(a + b$^2$), when a = 1, b…

The expression (x - y) (x$^2$ + xy + y$^2$) + (x + y) (x$^2$ – xy + y$^2$) – (x + y) (x$^2$ –…

What should be subtracted from 5y – 13x – 8a to obtain 11x – 16y + 7a?

Let P = 12xy - 10y$^2$ – 18x$^2$, Q = 14x$^2$ + 12y$^2$ + 9xy, and R = 5y$^2$ - x$^2$ + xy then (P…

If x$^4$ + $\frac{1}{x^4}$ = 322, x ≠ 0, then one of the values of {x-$\frac{1}{x}$} is

If 5x$^2$ - 8y - 20x + 2xy = (x + a) (bx + 2y), then the value of (a – b) is:

If A = x$^2$ (1 – 3y$^2$), B = x (xy$^2$ – 2x) and C = 3y (y – 4x$^2$y), then A + B –…

Let A = 3x$^2$−8x+11, B = -2x$^2$+12x, C = −4x$^2$+7 and D = x$^2$−x−11. If (A+B+C)−D = px$^2$+qx+ r, then the value of (p+q+r) is…

If A = - 2x$^2$ + 12x, B=11-8x+3x$^2$, C=17-4x$^2$ and D = x$^2$-x-3, then what is the sum of the co-efficients of x$^2$ and x…

$\frac{(a − b + c)^2 – (a – b – c)^2}{b-a}$ is equal to :