Question

Which polynomial is equivalent to (5n+2)^2

Answer 1

The polynomial equivalent to (5n+2)^2 is 25n^2 + 20n + 4.

Step-by-step explanation:

To find the polynomial that is equivalent to (5n+2)^2, we need to simplify the expression.

Let's use the formula for squaring a binomial, which is (a+b)^2 = a^2 + 2ab + b^2.

Applying this formula, we have (5n+2)^2 = (5n)^2 + 2(5n)(2) + 2^2 = 25n^2 + 20n + 4.

Answer 2

Use the formula for perfect square:

`(a+b)^2=a^2+2ab+b^2.`

Then

`(5n+2)^2=(5n)^2+2\cdot 5n\cdot 2+2^2.`

Since

`(5n)^2=5^2\cdot n^2=25n^2,`

you get

`(5n+2)^2=25n^2+20n+4.`

Answer:
`25n^2+20n+4.`