Respuesta :

The factor of 144-49x^2 is
(12-7x)(12+7x).

Answer:

[tex](12+7x)(12-7x)[/tex]

Step-by-step explanation:

[tex]144-49x^2[/tex]

HEre we have 2 terms and also we have x^2

So we try to write this in square form

144 can be written as 12 times 12 = 12^2

49 can be written as 7 times 7 = 7^2

[tex]144-49x^2[/tex]

[tex]12^2-7^2x^2[/tex]

[tex]12^2-(7x)^2[/tex]

Now apply difference of squares formula

[tex]a^2 - b^2= (a+b)(a-b)[/tex]

[tex]12^2 - (7x)^2= (12+7x)(12-7x)[/tex]