Question

Factor the expression. 144*x^2 - 25

Answer 1

(12x + 5)(12x − 5)

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)`

Answer 2

`\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)}}}}`