If 3x-6y = 9z, which of the following expressions is equivalent to x^2-4xy+4y^2?

Mathematics

1 answer:

Anton [14]4 years ago

8 0

The first and the difficult thing is you need to tell that

x^2-4xy+4y^2 = ( x - 2y )^2

so from question you know 3x - 6y = x - 2y = 9z

finial : ( x - 2y )^2 = ( 9z )^2=81z^2

so the answer is D . Hope this would help you .

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Ksju [112]

Answer:

$\frac{5}{12}$

Step-by-step explanation:

The given problem is a subtraction problem between fractions. The first step in a problem like this is to convert both fractions to a common denominator. In other words, multiply both the numerator and denominator of a fraction by the same value such that the denominator of one of the fractions is the same as the other fraction. The numerator of a fraction is the value over the fraction bar, whereas the denominator is the value under it. Multiplying any fraction by a number over itself is the same as multiplying it by one, thus, the equation will remain true, and be equivalent to the original expression.

$\frac{13}{12}-\frac{2}{3}$