Question

Prove that if $\frac ab$ cannot be simplified further, then $\frac{a-b}{a+b}$ also cannot be simplified further

score 100 · Answer 1 · 2021-10-11 10:47:18

100

Views

Prove that if $\frac ab$ cannot be simplified further, then $\frac{a-b}{a+b}$ also cannot be simplified further

Published on 11 Oct 2021 - 10:47

score 65 · Answer 2 · 2021-10-15 10:15:10

65

Views

Simplifying Heron's method output

Published on 15 Oct 2021 - 10:15

score 33 · Answer 3 · 2026-04-03 05:16:20

33

Views

How to know if partial fractions have been done incorrectly?

Published on 03 Apr 2026 - 5:16

score 102 · Answer 4 · 2021-10-21 21:01:07

102

Views

Find the values of $x,y,z\in\mathbb R$, such that $\frac{xy}{y+2x}=2,\frac{xz}{z+3x}=3,\frac{zy}{3y+2z}=12$

Published on 21 Oct 2021 - 21:01

score 37 · Answer 5 · 2021-10-22 15:24:40

37

Views

How does $\frac{p}{\sqrt{kp - p^2}}$ become $-\frac12 \left( \frac{k-2p}{\sqrt{kp - p^2}} - \frac{k}{\sqrt{kp - p^2}}\right)$?

Published on 22 Oct 2021 - 15:24

score 103 · Answer 6 · 2021-10-26 13:20:03

103

Views

How can I express this function in terms of s and t?

Published on 26 Oct 2021 - 13:20

score 100 · Answer 7 · 2026-03-27 22:03:46

100

Views

Why ${(0^+)}^{+ \infty}$ is well defined and not ${(0^+)}^{- \infty}$?

Published on 27 Mar 2026 - 22:03

score 42 · Answer 8 · 2021-10-30 06:01:04

What is the use of a negative sign before the fractional bar if it is equal to attaching a negative sign before the numerator or denominator

score 52 · Answer 9 · 2021-10-30 23:01:21

52

Views

The image set of the function $f(x) = \dfrac{x -1}{x + 1}$ generates $\Bbb{Q}$ multiplicatively?

Published on 30 Oct 2021 - 23:01

score 24 · Answer 10 · 2021-11-09 14:53:20

24

Views

Removing multiplicative inverses from numerators

Published on 09 Nov 2021 - 14:53

score 285 · Answer 11 · 2021-11-14 06:33:16

Olympiad Math Question - If the sum of the positive inverses of 4 positive integers equals $1.1$, what’s the lowest possible sum of the integers?

score 249 · Answer 12 · 2021-11-15 18:27:01

249

Views

I don't understand a step in the process of solving an equation with fractions. Common denominator

Published on 15 Nov 2021 - 18:27

score 61 · Answer 13 · 2021-11-17 09:18:43

61

Views

Proving $\log{(xy)}=\log{(x)}+\log{(y)}$ for fractional/rational exponents

Published on 17 Nov 2021 - 9:18

score 78 · Answer 14 · 2021-11-18 07:03:51

78

Views

Prove that (a^b)*(a^c)=a^(b+c) for all real number exponents

Published on 18 Nov 2021 - 7:03

score 58 · Answer 15 · 2021-11-28 08:34:13

58

Views

Find the limit of $U_n$ that satisfies $x_{n+1}=\frac{n+2}{3n+11}(\sqrt{x_n}+\sqrt[3]{7+x_n})$

Published on 28 Nov 2021 - 8:34

List Question

Prove that if $\frac ab$ cannot be simplified further, then $\frac{a-b}{a+b}$ also cannot be simplified further

Simplifying Heron's method output

How to know if partial fractions have been done incorrectly?

Find the values of $x,y,z\in\mathbb R$, such that $\frac{xy}{y+2x}=2,\frac{xz}{z+3x}=3,\frac{zy}{3y+2z}=12$

How does $\frac{p}{\sqrt{kp - p^2}}$ become $-\frac12 \left( \frac{k-2p}{\sqrt{kp - p^2}} - \frac{k}{\sqrt{kp - p^2}}\right)$?

How can I express this function in terms of s and t?

Why ${(0^+)}^{+ \infty}$ is well defined and not ${(0^+)}^{- \infty}$?

What is the use of a negative sign before the fractional bar if it is equal to attaching a negative sign before the numerator or denominator

The image set of the function $f(x) = \dfrac{x -1}{x + 1}$ generates $\Bbb{Q}$ multiplicatively?

Removing multiplicative inverses from numerators

Olympiad Math Question - If the sum of the positive inverses of 4 positive integers equals $1.1$, what’s the lowest possible sum of the integers?

I don't understand a step in the process of solving an equation with fractions. Common denominator

Proving $\log{(xy)}=\log{(x)}+\log{(y)}$ for fractional/rational exponents

Prove that (a^b)*(a^c)=a^(b+c) for all real number exponents

Find the limit of $U_n$ that satisfies $x_{n+1}=\frac{n+2}{3n+11}(\sqrt{x_n}+\sqrt[3]{7+x_n})$

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