Question Text
Question 10 :
How many monomials are there in the list? $x + y$, $1000$, $x + x^2 + x^3 + x^4$, $7 + y + 5x$, $2y – 3y^2$, $2y – 3y^2 + 4y^3$, $5x – 4y + 3xy$, $4z – 15z^2$, $ab + bc + cd + da$, $pqr$, $p^2q + pq^2$, $2p + 2q$
Question 11 :
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61cc1ace78c526e972caf064.PNG' />
In the above figure, the length and breadth of the rectangle has been changed from $l$ and $b$ to $l+5$ and $b-3$ respectively. What is the expression for the area of the new rectangle ?
Question 14 :
Simplify: $(1.5x – 4y)(1.5x + 4y + 3) – 4.5x + 12y$
Question 16 :
Find the area of rectangle with the following pair of monomials as their length and breadth respectively : $(20x^2 , 5y^2)$
Question 17 :
What is the result of the following divisions? $(x^4 – 16) ÷ x^3 + 2x^2 + 4x + 8$
Question 18 :
The height of a triangle is $x^4 + y^4$ and its base is 14xy. Find the area of the triangle.