Question

Factor the expression. 144*x^2 - 25

Answer 1

Answer:

$\hookrightarrow \: { \tt{(144 {x}^{2} - 25)}} \: \hookleftarrow$

$\dashrightarrow \: { \tt{ {12}^{2} {x}^{2} - {5}^{2} }} \\ \\ \dashrightarrow \: { \tt{ {(12x)}^{2} - {5}^{2} }}$

• from difference of two squares identity of quadratics:

${ \boxed{ \rm{( {a}^{2} - {b}^{2} ) = (a - b)(a + b) }}}$

→ a is 12x

→ b is 5

$\dashrightarrow \:{ \boxed{ \boxed { \tt{(12x - 5)(12x + 5)}}}}$

Answer 2

Answer:

(12x + 5)(12x − 5)

Step-by-step explanation:

1. $2^4 * 3^2 * x^2 -5^2$

2. $(2^2 * 3x)^2 -5^2$

3. $(2^2 * 3x -5)(2^2 * 3x +5)$

4. $(4 * 3x - 5)(4 * 3x + 5)$

5. $(12x-5)(12x+5)$