Given 1 / x + 1 / y = 2, find the value of fraction 3x + 7xy + 3Y / 2x-5xy + 2Y

Given 1 / x + 1 / y = 2, find the value of fraction 3x + 7xy + 3Y / 2x-5xy + 2Y

1/x+1/y=(x+y)/xy=2
x+y=2xy
(3x+7xy+3y)/(2x-5xy+2y)
=[3(x+y)+7xy]/[2(x+y)-5xy]
=(6xy+7xy)/(4xy-5xy)
=13xy/(-xy)
=-13

When Xiaoming did a math problem, he mistook "A-B" as "a + B", and the answer was 3x2-2x + 5. Known a = 4x2-3x-6, please help Xiaoming to find a-b

B = 3x2-2x + 5 - (4x2-3x-6)
=3x2-2x+5-4x2+3x+6=-x2+x+11.
So A-B = 4x2-3x-6 - (- x2 + X + 11) = 4x2-3x-6 + x2-x-11
=5x2-4x-17.

[mathematical fraction calculation, (a 2-4) is 2A - (A-2) is 1 (x-3) is 1 - (x + 3) is 1 (a 2 - 4) parts 2A - (A-2) parts 1 (x-3) 1 - (x + 3) 1 (a 2 - 4A + 4) parts (A-1) / (a 2 - 4) parts (a 2 - 1) [(X-2) parts 3x - (x + 2) parts x] × x parts (x 2 - 4)

(a + 2) / (a + 2) / (a + 2) (a + 2) (a + 2) / (a + 2) (a + 2) (A-2) = (2a-a-2) / (a + 2) (a + 2) (A-2) (A-2) = (A-2) / (a + 2) (a + 2) (A-2) (A-2) = (A-2) / (a + 2) (A-2) (A-2) = (A-2) / (a + 2) (A-2) (A-2) = (a + 3) / (x + 3) (x-3) / (x + 3) (x-3) (x-3) (x-3) = (x + 3-3) / (x + 3) (x-3) (x-3) (x-3) (x-3) (x-3) (x-3) (it's a good idea

[mathematical fraction calculation, need process] 0-3ab × 9A / b 2x X 0-3ab × 9A? B 2x -3AB △ 2B 2 of 3A (xy-x 2) △ X-Y of XY X + Y / x 2 - y 2 △ 2x + 2Y / x 2 + XY M + 1 / 4 m 2 - 4 m + 1 / M 2 - 1 / 4 m 2 - 1 (4x 2 - y 2) △ 2x - y divided into 4x - 4xy + y The first question is wrong It's - 3AB x 9A? 2x 2 of X

0-3ab × 9A? B 2x? 2x = - 2x / 3a-3ab △ 2B? Of 3A = - 9A? / b (xy-x?) / xyfraction X-Y = - x (X-Y) × XY / (X-Y) = - x? Y x + y of X? - y?? / 2x + 2Y of X? + xy = (X-Y) (x + y) / (x + y) × 2 (x + y) / X (x + y) = (X-Y) (x + y) / (x + y) × 2 (x + y) / (x + y)

[mathematical fraction calculation] given that x 2 - x + 1 / x = 5, find the value of the fourth power of X + x 2 + 1 / x 2

A:
x/(x²-x+1)=5
Take the reciprocal:
(x²-x+1)/x=1/5
So:
x-1+1/x=1/5
x+1/x=6/5
So:
The numerator and denominator of (x ^ 4 + X? 2 + 1) is divided by X? 2 at the same time
=1/(x²+1+1/x²)
=1/[(x+1/x)²-1]
=1/[(6/5)²-1]
=1/(36/25-1)
=25/11

Fractional calculation of the fourth power of 1 / A-X + 1 / A + x-2x / a A2 + X? - 4x? / A

The fourth power of 1 / A-X + 1 / A + x-2x / a 2 + X? - 4x? / A
= 1/a-x+1/a+x-2x/a²+x²-4x³/a^4-x^4
= 1/a+1/a-x+x-2x/a²+x²-4x³/a^4-x^4
= 2/a-2x/a²+x²-4x³/a^4-x^4

The simplest common denominator of fraction 1 / (square of 4x-2x) and 1 / (square of x-4) is ()

The simplest common denominator of fraction 1 / (square of 4x-2x) and 1 / (square of x-4) is (2x ^ 3-8x)

The simplest common denominator of the square of fraction x is x + 1, the square of X is 2 / 1, and the square of X + 2x + 1 / X is the simplest common denominator of X

(x-1) / (x ^ 2-x), 2 / (x ^ 2-1), X / (x ^ 2 + 2x + 1) simplest common denominator: X (x-1) (x + 1) ^ 2

The simplest common denominator of the fraction x + 1 / 2, the square of x-4x, and 2-x is

Is (x + 2)
X

What is the simplest common denominator of fraction 1 / 4, X-2 / xsquare-4x, X-2 / xsquare + 4x + 4?

X squared - 1 / 4 = 1 / [(X-2) (x + 2)]
X-2 parts of xsquare - 4x = (xsquare - 4x) (x + 2) / [(X-2) (x + 2)]
= [(2x) + 2x (2x) to the power of + 2x]
The simplest common denominator is: X square-4