Which of the binomials below is a factor of this expression?25x2 - 4y2 z2A.5x - 4yzB.5x - 2yzC.5x2 - 4y2 z2D.5x2 - 2y2 z2SUBMITarrow_backPREVIOUS
Question
Which of the binomials below is a factor of this expression?25x2 - 4y2 z2A.5x - 4yzB.5x - 2yzC.5x2 - 4y2 z2D.5x2 - 2y2 z2SUBMITarrow_backPREVIOUS
Solution
The expression given is a difference of squares. The general form of difference of squares is a^2 - b^2 = (a - b)(a + b).
Here, a^2 = 25x^2 and b^2 = 4y^2z^2.
So, a = 5x and b = 2yz.
Therefore, the factors of the expression 25x^2 - 4y^2z^2 are (5x - 2yz) and (5x + 2yz).
So, the correct answer is B. 5x - 2yz.
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