R S Aggarwal and Veena Aggarwal Solutions for Exercise 3: EXERCISE 3C

Factorize:

$40+3x-x^2$

Factorize: $9(2a-b{)}^2-4(2a-b)-13$

If the factors are in the form $\left(pa-qb-13\right)$ and $\left(2a-b+1\right)$, then write the value of $\left(p+q\right)$ as the final answer.

Factorize:

$7(x-2y{)}^2-25(x-2y)+12$

Factorize:

$10{\left(3x+\frac{1}{x}\right)}^2-\left(3x+\frac{1}{x}\right)-3$

Factorization of $6{\left(2x-\frac{3}{x}\right)}^2+7\left(2x-\frac{3}{x}\right)-20$ is $\left(4x-\frac{6}{x}+5\right)\left(6x-\frac{9}{x}-k\right)$, then find the value of $k$.

Factorize:

${\left(a+2b\right)}^2+101\left(a+2b\right)+100$

If the factors of $\left(4x^4+7x^2-2\right)$ are $\left(x^2+k\right)(kx-1)(kx+1)$, then find the value of $k$.

Evaluate: $\left\{(999{)}^2-1\right\}$