Question

Factorize 25x2+40x+16

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Answer to a math question Factorize 25x2+40x+16

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Miles

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1. Identify the form of a perfect square trinomial, which is

(ax)^2 + 2abx + b^2 = (ax + b)^2

.

2. For the trinomial

25x^2 + 40x + 16

, identify that

25x^2 = (5x)^2

and

16 = 4^2

.

3. Check if the middle term

40x

can be expressed as

2 \cdot 5x \cdot 4

:

- Calculate

2 \times 5x \times 4 = 40x

.

4. Since the middle term matches, we can express the trinomial as a perfect square:

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

.

5. Concluding the factorization:

The factorized form of

25x^2 + 40x + 16

(5x + 4)^2

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Factorize 25x2+40x+16

Answer to a math question Factorize 25x2+40x+16

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