Every number has its definite factor. The factors for the equation 6x²+40x+25 are (4x+5)(4x+5). Option D is correct.
When a number is stated to be a factor of another number, the first number must completely divide the second number without leaving any leftover.
The given expression for finding factor is;
[tex]16x^2+40x+25\\\\ (4x)^2+40x+5^2\\\\ (4x)^2+2\times 4\times 5x+5^2\\\\[/tex]
From the formula, we know that
[tex]\rm (a+b)^2=a^2+b^2+2ab \\\\[/tex]
So by comparing we get,
a= 4x b=5
[tex](4x+5)^2= (4x)^2+2\times 4\times 5x+5^2\\\\[/tex]
The factors for the equation 6x²+40x+25 are (4x+5)(4x+5). Hence Option D is correct.
To learn more about the factor refer to the link;
https://brainly.com/question/713325
