Answered

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Factor completely 16x2 40x 25. (4x − 5)(4x − 5) (2x − 5)(2x − 5) (2x 5)(2x 5) (4x 5)(4x 5).

Sagot :

Every number has its definite factor. The factors for the equation 6x²+40x+25 are (4x+5)(4x+5). Option D is correct.

What is a factor?

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

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