Question

Jill is factoring the expression 13xy-52y. Her work is shown below.

Answer 1

Answer:

Jill omitted a factor pair , which affected the GCF and factored expression.

Step-by-step explanation:

Jill's expression

13xy-52y

Factor of 13xy: 1,13,x,y

Factore of 52y: 1,2,26,52,13,4,y

But Jill give factor of 52y: 1,2,26,52,y

Jill make a mistake when Jill factorise 52y .

He does not take 13 and 4 in his factor.

GCF :   $13xy=13\times x\times y$

$52y= 13\times 4\times y$

The common factor of both terms are 13 and y

Therefore, GCF: $13\times y =13y$

But Jill give GCF:y

Jill give factored expression : y(13x-52)

But actual factored expression: 13y(x-4)

Therefore , Jill omitted a factor pair which affect the GCF and factored expression .

Answer 2

Jill omitted a factor pair, which affected the GCF and factored expression.  

Factors of 52y: 1, 2, 26, 52, y   she also needs to include 13*4