Question

Сократить дробь 36x*(2)-12xy+y*(2)/36x*(2)-y*(2)

Answer 1

Правильное условие и решение:

$\dfrac{36x {}^{2} - 12xy + y {}^{2} }{36x {}^{2} - y {}^{2} } = \dfrac{(6x - y) {}^{2} }{(6x - y)(6x + y)} = \dfrac{6x - y}{6x + y} .$

При решении были использованы формулы:

$a {}^{2} - 2ab + b {}^{2} = (a - b) {}^{2} ;a {}^{2} - b {}^{2} = (a - b)(a + b).$

Answer 2

To simplify the given fraction:

(36x^2 - 12xy + y^2) / (36x^2 - y^2)

We can factor the numerator and denominator to make simplification easier:

Numerator (36x^2 - 12xy + y^2) factors into (6x - y)^2 Denominator (36x^2 - y^2) factors into (6x + y)(6x - y)

Now, the fraction simplifies to:

[(6x - y)^2] / [(6x + y)(6x - y)]

We can see that (6x - y) appears in both the numerator and denominator, so we can cancel them out:

(6x - y) / (6x + y)

So, the simplified fraction is:

(6x - y) / (6x + y)