Factor the polynomial expression 16y^4-256x^12

see explanation

Step-by-step explanation:

Given

16 - 256 ← factor out 16 from each term

= 16( - 16 ) ← difference of squares which factors in general as

a² - b² = (a - b)(a + b), thus

- 16

= (y² )² - (4 )²

= (y² - 4 )(y² + 4 )

Now y² - 4 ← is also a difference of squares

= y² - (2x³)²

= (y - 2x³)(y + 2x³)

Thus

16 - 256

= 16(y - 2x³)(y + 2x³)(y² + 4 )

5x+40

5(x + 8)

7x - 49

7(x - 7)

18x + 9

9(2x + 1)

15x - 10

5(3x - 2)

step-by-step explanation:

for number one all you have to do is factor 5 out of 5x + 40

for number 2 factor 7 out of 7x - 49

for number three factor 9 out of 18x + 9

for number four factor 5 out of 15x - 10