Common Factors of Polynomials _
Which statements are true?

Select each correct answer.​

9g³ + 12 = 3(3g³ + 4)

35g⁵ – 25g² = 5g²(7g³ – 5)

Step-by-step explanation:

To know which statement is true, we shall facotrise each expression.

This is illustrated below:

4g² – g = g²(4 – g)

g(4g – 1) ≠ g²(4 – g)

Thus,

4g² – g = g²(4 – g) is not true.

9g³ + 12 = 3(3g³ + 4)

3(3g³ + 4) = 3(3g³ + 4)

Thus,

9g³ + 12 = 3(3g³ + 4) is true

24g⁴ + 18g² = 6g²(4g² + 3g)

6g²(4g² + 3) ≠ 6g²(4g² + 3g)

Thus,

24g⁴ + 18g² = 6g²(4g² + 3g) is not true

35g⁵ – 25g² = 5g²(7g³ – 5)

5g²(7g³ – 5) = 5g²(7g³ – 5)

Thus,

35g⁵ – 25g² = 5g²(7g³ – 5) is true

From the illustrations above,

9g³ + 12 = 3(3g³ + 4) is true

35g⁵ – 25g² = 5g²(7g³ – 5) is true

(w – 2.5)(w + 2.5)

(–4v – 9)(–4v + 9)

step-by-step explanation:

-12 > a

step-by-step explanation:

-11 > 1 + a

subtract 1 from each side

-11-1 > 1-1+a

-12 > a