Respuesta :

Given:

The equation is,

[tex]2x^2+20x+48[/tex]

Explanation:

Taking out 2 as common from the expression.

[tex]2x^2+20x+48=2(x^2+10x+24)[/tex]

Factorise the equation by splitting the middle term.

[tex]\begin{gathered} 2(x^2+10x+24)=2(x^2+6x+4x+24) \\ =2\lbrack x(x+6)+4(x+6)\rbrack \\ =2(x+4)(x+6) \end{gathered}[/tex]

So answer is 2(x + 4)(x + 6)