Question

What are the factors of 24xy – 16y + 24 – 36x?​

Answer 1

Answer:

We know 16x2+24xy+9y2 =(4x)2+2(4x)(3y)+(3y)2

We know appropriate identities is x2+2xy+y2=(x+y)2

Here x=4x and y=3y

Thus (4x)2+2(4x)(3y)+(3y)2 =(4x+3y)2

Answer 2

Factors of 24xy – 16y + 24 – 36x  are 4 , (3x - 2) and (2y - 3)

Given:

• 24xy – 16y + 24 – 36x

To Find:

• Factors

Solution:

• Factorization is finding factors which when multiplied together results in the original

24xy – 16y + 24 – 36x

Step 1:

Take 4 common from all the terms

4 (6xy – 4y + 6 – 9x)

Step 2:

Reorder the terms

4 (6xy – 4y  -9x + 6)

Step 3:

Taking 2y   and  -3 common

4 ( 2y(3x – 2)  -3(3x -2 ) )

Step 3:

Taking(3x – 2) common

4 (3x – 2) (2y - 3)

Hence Factors are 4 , (3x - 2) and (2y - 3)