Find the greatest common factor of the polynomial: a^2 b^3, a^3 b… - Vidyadip

Question

Find the greatest common factor of the polynomial:
$a^2 b^3, a^3 b^2$

✓

Answer

The common literals appearing in the three monomials are a and $b.$
The smallest power of $x$ in the two monomials is $2.$
The smallest power of $y$ in the two monomials is $2.$
The monomial of common literals with the smallest powers is $a^2b^2$.
Hence, the greatest common factor is $a^2b^2$.

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Explore more

More "3 Marks Question" from Factorization→Factorization — all question types→MATHS STD 8 question papers→Gujarat Board STD 8 question papers→Gujarat Board question paper generator→

Similar questions

The weight of a metal block of size $5\ cm$ by $4\ cm$ by $3\ cm$ is $1\ kg.$ Find the weight of a block of the same metal of size $15\ cm$ by $8\ cm$ by $3\ cm.$

Simplify the following using the identities: $\frac{58^2−42^2}{16}$

Rahim borrowed $Rs. 10,24,000$ from a bank for one year. If the bank charges interest of $5\%$ per annum, compounded half-yearly, what amount will he have to pay after the given time period. Also, find the interest paid by him.

Find 10 rational numbers between $\frac{-3}{4}$ and $\frac{5}{6}$.

Find the product: $ 1.5 x\left(10 x^2 y-100 x y^2\right) $

Find the area of a trapezium whose parallel sides are of length $16\ dm$ and $22\ dm$ and whose height is $12\ dm.$

Find the cube of the following numbers.
(i) 16 $\quad$ (ii) 17 $\quad$ (iii) 23.

The cost of a chocolate is Rs $(x + y)$ and Rohit bought $(x + y)$ chocolates. Find the total amount paid by him in terms of $x$. If $x = 10,$ find the amount paid by him.

Find the greatest number of five digits which is a perfect square. What is the square root of this number$?$

If $a$ and $b$ are any two integers, is $(a+b)^2$ always greater than $a^2+b^2$ ? If not, when is it greater?