Abhijit Guha Solutions for Chapter: Elementary Algebra, Exercise 1: Practice Problems Level 1

If $\mathrm{x}\times \mathrm{y}=(\mathrm{x}+3{)}^2(\mathrm{y}-1)$, then the value of $5\times 4$ is:

The expression ${\mathrm{x}}^4-2{\mathrm{x}}^2+\mathrm{k}$ will be a perfect square when the value of k is:

If $\mathrm{y}=\frac{\mathrm{x}-2}{\mathrm{x}+1}, \mathrm{y}\ne 1$ then is equals:

If $(\mathrm{x}+\mathrm{y}{)}^3={\mathrm{x}}^3+{\mathrm{y}}^3$, then:

Which of the following expression on simplification gives $(3\mathrm{x}+4)$?

If ${\mathrm{x}}^2-4\mathrm{x}+5=0$, then the value of ${\mathrm{x}}^2+\frac{25}{{\mathrm{x}}^2}$ is:

The reciprocal of $\mathrm{x}+\frac{1}{\mathrm{x}}$ is:

If a, b, c, are positive and $\mathrm{a}+\mathrm{b}+\mathrm{c}=1$, then the least value of $\frac{1}{\mathrm{a}}+\frac{1}{\mathrm{b}}+\frac{1}{\mathrm{c}}$ is: