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
