Question

Factor each completely.
1. 4x2 - 25

2. 9a² – 4

3. 9b2-25

4. 16r2 - 25

5. 25m2-9​

Answer 1

Answer:

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Step-by-step explanation:

Answer 2

Step-by-step explanation:

1.

$4 {x}^{2} - 25 \\ = {(2x)}^{2} - {5}^{2} \\ = (2x + 5)(2x - 5)$

2.

$9{a}^{2} - 4 \\ = {(3a)}^{2} - {2}^{2} \\ = (3a + 2)(3a - 2)$

3.

$9 {b}^{2} - 25 \\ = {(3b)}^{2} - {5}^{2} \\ = (3b + 5)(3b - 5)$

4.

$16 {r}^{2} - 25 \\ = {(4r)}^{2} - {5}^{2} \\ = (4r + 5)(4r - 5)$

5.

$25 {m}^{2} - 9 \\ = {(5m)}^{2} - {3}^{2} \\ = (5m + 3)(5m - 3)$