Question

Factor completely 16x^2+40x+25

Answer 1

(4x+5)(4x+5)

Explanation:

We have given an expression.

16x²+40x+25

We have to find the factor of given expression.

We use following formula to solve this:

a²+2ab+b² = (a+b)²

In given expression, a² = 4x² and b² = 25

Applying formula, we have

(4x)²+2(4x)(5)+(5)²

(4x+5)²

(4x+5)(4x+5)

Hence, the factors of give expression are (4x+5) and (4x+5).

Answer 2

Hence, the factor of given algebraic equation:

`16x^2+40x+25` is:

`(4x+5)^2=(4x+5)(4x+5)`

Explanation:

" To factor an algebraic equation means to represent it in the most simplest form "

Here we are given an algebraic equation as:

`16x^2+40x+25`

Now this algebraic equation could also be represented as:

`16x^2+40x+25=(4x)^2+2* (4x)* 5+5^2\\\\16x^2+40x+25=(4x+5)^2`

Hence, the factor of the given algebraic equation:

`16x^2+40x+25` is:

`(4x+5)^2=(4x+5)(4x+5)`