Respuesta :

use (a-b) (a+b )

(3x+4) (3x- 4)

Answer:-

[tex]\bigcirc [/tex](9x+4)(x-4)

[tex]\bigcirc [/tex](9x-4)(x-4)

[tex]\odot [/tex](3x+4)(3x-4)

[tex]\bigcirc [/tex](3x-4)(3x-4)

_____________________

Calculations:-

Let's Factorise:-

[tex]{:}\leadsto [/tex] [tex]\sf 9x^2-16 [/tex]

  • Let's use algebraic identity for factorisation

[tex]{\boxed{\sf (a+b)(a-b)=(a)^2-(b)^2}}[/tex]

  • Here see 16 is the square of 4 and 9x^2 is the square of 3x

[tex]{:}\leadsto [/tex] [tex]\sf 3x^2-4^2 [/tex]

  • Now According to identity

[tex]{:}\leadsto [/tex] [tex]\sf (3x+4)(3x-4)[/tex]

Hence the correct option is option C.