Jharne De and Ranjana Kumar Solutions for Chapter: Algebraic Expressions, Exercise 5: EXERCISE 6.3

From the sum of $5x^2+x+2$ and $-2x+3x^2+4$, subtract $x-x^2-1$.

What must be subtracted from $3a^2+4b^2-6ab$ to get $8b^2-4a^2+2ab$?

How much is $4a-4b-4c$ smaller than $7a+7b-c$?

A ribbon is $\left(10x-8\right) \mathrm{metres}$ long. A length of $\left(7x-5\right) \mathrm{metres}$ is cut from it. How much ribbon is left?

Nishant is three times as old as Prashant. Hemant is $2 \mathrm{years}$ older than Prashant. Together their ages add up to $62 \mathrm{years}$. How old is Hemant?

A rope is $\left(11x+7\right) \mathrm{cm}$ long. A length of $\left(2x-5\right) \mathrm{cm}$ is cut from it. Find the length of the remaining rope.

The sum of two expressions is $5x^2+7x+9$. If one expression is $x^2-3x$, find the other.

Find the value of $\left(\mathrm{A}+\mathrm{B}\right)-(\mathrm{A}-\mathrm{B})$ if $\mathrm{A}=x^2-7x+9$ and $\mathrm{B}=3x^2+5x-6$.