The expression 16x^2 + 40xy + 25y^2 is a perfect square trinomial. It can be factored as follows:

Step 1: Identify the square root of the first term (16x^2), which is 4x.
Step 2: Identify the square root of the last term (25y^2), which is 5y.
Step 3: The middle term (40xy) is twice the product of the square roots from steps 1 and 2 (2*4x*5y = 40xy).

So, the expression can be factored as (4x + 5y)^2. Therefore, the binomial 4x + 5y is a factor of the expression. The correct answer is B. 4x + 5y.

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The expression 16x^2 + 40xy + 25y^2 is a perfect square trinomial. It can be factored as follows:

Step 1: Identify the square root of the first term (16x^2), which is 4x.
Step 2: Identify the square root of the last term (25y^2), which is 5y.
Step 3: The middle term (40xy) is twice the product of the square roots from steps 1 and 2 (2*4x*5y = 40xy).

So, the expression can be factored as (4x + 5y)^2. Therefore, the binomial 4x + 5y is a factor of the expression. The correct answer is B. 4x + 5y.

Knowee AI · Accepted Answer

The expression 16x^2 + 40xy + 25y^2 is a perfect square trinomial. It can be factored as follows:

Step 1: Identify the square root of the first term (16x^2), which is 4x.
Step 2: Identify the square root of the last term (25y^2), which is 5y.
Step 3: The middle term (40xy) is twice the product of the square roots from steps 1 and 2 (2*4x*5y = 40xy).

So, the expression can be factored as (4x + 5y)^2. Therefore, the binomial 4x + 5y is a factor of the expression. The correct answer is B. 4x + 5y.

Which of the binomials below is a factor of this expression?16x2 + 40xy + 25y2A.4x - 5yB.4x + 5yC.2x + 5yD.2x - 5ySUBMITarrow_backPREVIOUS

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