Question

Find the common factor of the given terms: $4x^2,6xy,8y^{2}x$

Answer 1

The given terms are $4x^2,6xy$ and $8y^{2}x$

To find out: The common factor of the given terms.

We can factorise each of the given terms as:

$4x^2=2\times 2\times x\times x$

$6xy=3\times 2\times x\times y$

$8y^{2}x=2\times 2\times 2\times y\times y\times x$

We see $2$ and $x$ common in each terms.

Hence, common factor $=2\times x=2x$

Therefore, the common factor of the given terms is $2x$.