Respuesta :

The difference of squares is given by:

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

For:

[tex]16x^2-100[/tex]

Let:

[tex]\begin{gathered} a=4x \\ b=10 \\ so\colon \\ a^2=16x^2 \\ b^2=100 \\ a^2-b^2=(a-b)(a+b) \\ 16x^2-100=(4x-10)(4x+10) \end{gathered}[/tex]