Question

hcf of x^4y^5 and x^8y^3​

Answer 1

Answer:

$x^{4}x^{3}$

Step-by-step explanation:

Firstly, let us see the factors of $x^{4}y^{5}$.

$x^{4}y^{5}$=$x$*$x$*$x$*$x$*$y$*$y$*$y$*$y$*$y$

Similarly $x^{8}y^{3}$:

$x^{8}y^{3}$=$x$*$x$*$x$*$x$*$x$*$x$*$x$*$x$*$y$*$y$*$y$

Now in the two prime factorizations, we must take out the common factors and multiply them which would give:

$x$*$x$*$x$*$x$*$y$*$y$*$y$=$x^{4}x^{3}$

Hence HCF of the two expressions is $x^{4}x^{3}$

Hope it helps!