Question

find the common factors of the given terms in 12x square y, 18 xy square

Answer 1

The expansion of

12

x

2

y

is

3

×

2

×

2

×

x

×

x

×

y

And that of

18

x

y

2

is

3

×

3

×

2

×

x

×

y

×

y

By factorization, we see that the term

2

,

3

,

x

,

y

are common to bot.

Hence, the common factors of the given terms is

6

x

y

.

Answer 2

$\huge \fbox \red{answer}$

The expansion of 12x²y is 3×2×2×x×x×y

And that of 18xy² is 3×3×2×x×y×y

By factorization, we see that the term 2,3,x,y are common to bot.

Hence, the common factors of the given terms is 6xy.