The expression 9x^2 + 48xy + 64y^2 is a perfect square trinomial. This means it can be factored into the square of a binomial.

The general form of a perfect square trinomial is (ax)^2 + 2abx + b^2, which can be factored into (ax + b)^2.

In the given expression, a is 3x, b is 8y, and the middle term is 2*3x*8y = 48xy.

So, the expression can be factored into (3x + 8y)^2.

Therefore, the binomial that is a factor of the expression is 3x + 8y, which corresponds to option D.

Question

The expression 9x^2 + 48xy + 64y^2 is a perfect square trinomial. This means it can be factored into the square of a binomial.

The general form of a perfect square trinomial is (ax)^2 + 2abx + b^2, which can be factored into (ax + b)^2.

In the given expression, a is 3x, b is 8y, and the middle term is 2*3x*8y = 48xy.

So, the expression can be factored into (3x + 8y)^2.

Therefore, the binomial that is a factor of the expression is 3x + 8y, which corresponds to option D.

Knowee AI · Accepted Answer

The expression 9x^2 + 48xy + 64y^2 is a perfect square trinomial. This means it can be factored into the square of a binomial.

The general form of a perfect square trinomial is (ax)^2 + 2abx + b^2, which can be factored into (ax + b)^2.

In the given expression, a is 3x, b is 8y, and the middle term is 2*3x*8y = 48xy.

So, the expression can be factored into (3x + 8y)^2.

Therefore, the binomial that is a factor of the expression is 3x + 8y, which corresponds to option D.

Which of the binomials below is a factor of this expression?9x2 + 48xy + 64y2A.3x - 16yB.3x - 8yC.3x + 16yD.3x + 8y