Question

find HCF of 9(x-3)(x-2) and 12(x-5)(x-3)​

Answer 1

$\textbf{Given:}$

$\mathrm{9(x-3)(x-2)}\;\text{and}\;12(x-5)(x-3)$

$\textbf{To find:}$

$\text{The H.C.F of the given two polynomials}$

$\textbf{Solution:}$

$\textbf{Highest common factor:}$

$\text{The Highest common factor of given two polynomials is}$

$\text{a common polynomial of highest degree}$

$\text{which divides both the polynomials}$

$\text{First we factorize the given polynomials}$

$\mathrm{9(x-3)(x-2)=3{\times}\boxed{3}{\times}\boxed{(x-3)}{\times}(x-2)}$

$\mathrm{12(x-5)(x-3)=2{\times}2{\times}\boxed{3}{\times}(x-5){\times}\boxed{(x-3)}}$

$\textbf{H.C.F=3(x-3)}$

$\textbf{Answer:}$

$\textbf{H.C.F of 9(x-3)(x-2) and 12(x-5)(x-3) is 3(x-3)}$

Find more:

Find the HCF of xy^2 , x^2y^3 , x^3y^3 and then find their LCM

https://brainly.in/question/16814614