NCERT Solutions for Chapter: Algebraic Expressions and Identities, Exercise 1: Exercise

This is how Piyush made the border of the painting.

How many centimetres of wood did Piyush use? 

Simplify the following algebraic expression.

$(4g + h)(4h + g) – 2gh$

If $\mathrm{A}=\left(3\mathrm{x}+6\right)$ and $\mathrm{B}=\left(2{\mathrm{x}}^2+3\mathrm{x}+4\right)$, then the degree of $\mathrm{AB}$ is _____.

Simplify: $\frac{{\displaystyle \frac{a^2}{x-a}+\frac{{\displaystyle b^2}}{{\displaystyle x-b}}+\frac{{\displaystyle c^2}}{{\displaystyle x-c}}+a+b+c}}{\frac{a}{x-a}+\frac{{\displaystyle b}}{{\displaystyle x-b}}+\frac{{\displaystyle c}}{{\displaystyle x-c}}}$.

Ram deposited ' $x$ ' number of $₹ 2000$ notes, ' $y$ ' number of $₹ 500$ notes, ' $z$ ' number of $₹ 100$ notes in a bank and Velan deposited ' $3 xy$ ' times of amount of what Ram had deposited. How much amount did Velan deposit in the bank?

If the amounts with Anvesh and Avinash are $₹\left(\frac{5}{2}{\mathrm{x}}^2-\frac{7}{4}\mathrm{x}+6\right)$ and $₹\left(\frac{7}{4}{\mathrm{x}}^2-\frac{5}{2}\mathrm{x}-15\right)$ respectively, find the total amount with them in terms of x and find its value, when $\mathrm{x}=20$.

The constant term in the product of $\left(5x^2-7x+4\right)\left(7x-8\right)$ is $12$.

$\frac{3}{4}(4x-8)=$ _____.