Question

Factor $(a^2+2a)^2-2(a^2+2a)-3$ completely

score 4.4k · Answer 1 · 2013-03-27 08:04:27

4.4k

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Factor $(a^2+2a)^2-2(a^2+2a)-3$ completely

Published on 27 Mar 2013 - 8:04

score 136 · Answer 2 · 2026-04-12 13:23:33

136

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factorisation of algebra

Published on 12 Apr 2026 - 13:23

score 124 · Answer 3 · 2026-04-11 08:16:43

124

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Derive the following expression:

Published on 11 Apr 2026 - 8:16

score 96 · Answer 4 · 2026-04-15 09:51:48

96

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How to find remain factor of this trigonometic equation?

Published on 15 Apr 2026 - 9:51

score 216 · Answer 5 · 2026-04-15 22:27:27

216

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Suppose $x_1,x_2$ and $x_3$ are roots of $(11 - x)^3 + (13 - x)^3 - (24 - 2x)^3$ . What is the sum of $x_1 + x_2 + x_3$?

Published on 15 Apr 2026 - 22:27

score 86 · Answer 6 · 2026-04-10 18:47:16

86

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Unsure how to use properties of determinants to factorise a matrix

Published on 10 Apr 2026 - 18:47

score 75 · Answer 7 · 2026-04-14 19:16:35

75

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If $\frac{a}{b}$ is irreducible, then the quotient of the product of any $2$ factors of $a$ and any $2$ factors of $b$ are irreducible.

Published on 14 Apr 2026 - 19:16

score 1k · Answer 8 · 2026-04-13 23:48:54

1k

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Determine $\sqrt{1+50\cdot51\cdot52\cdot53}$ without a calculator?

Published on 13 Apr 2026 - 23:48

score 139 · Answer 9 · 2026-04-12 15:36:06

139

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Corollary to lemma on primitive polynomials in a UFD

Published on 12 Apr 2026 - 15:36

score 93 · Answer 10 · 2026-04-15 14:02:05

93

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How are you able to factorise a determinant like this?

Published on 15 Apr 2026 - 14:02

score 62 · Answer 11 · 2026-04-16 06:52:45

62

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$(1−x^n) = (1−x)(1 + x + x^2 +\cdots + x^{n−1})$

Published on 16 Apr 2026 - 6:52

score 535 · Answer 12 · 2026-04-16 09:39:05

535

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Evaluate :- $\frac{(2020^2 - 20100)(20100^2 - 100^2)(2000^2 + 20100)}{10(2010^6 - 10^6)}$

Published on 16 Apr 2026 - 9:39

score 88 · Answer 13 · 2026-04-15 08:27:57

88

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Proof that for primitive $p(x) \in D[x]$, $p(x)$ irreducible in $F[x]$ $\Leftrightarrow$ $p(x)$ irreducible in $D[x]$

Published on 15 Apr 2026 - 8:27

score 594 · Answer 14 · 2026-04-16 11:09:07

594

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We have $a,b,c$ and $d$ are real numbers such that $\frac{b + c + d}{a} = \frac{a + c + d}{b} = \frac{a + b + d}{c} = \frac{a + b + c}{d} = r$.

Published on 16 Apr 2026 - 11:09

score 138 · Answer 15 · 2026-04-15 10:50:18

138

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An uncertainty for $a^3+b^3+c^3-3abc$

Published on 15 Apr 2026 - 10:50

List Question

Factor $(a^2+2a)^2-2(a^2+2a)-3$ completely

factorisation of algebra

Derive the following expression:

How to find remain factor of this trigonometic equation?

Suppose $x_1,x_2$ and $x_3$ are roots of $(11 - x)^3 + (13 - x)^3 - (24 - 2x)^3$ . What is the sum of $x_1 + x_2 + x_3$?

Unsure how to use properties of determinants to factorise a matrix

If $\frac{a}{b}$ is irreducible, then the quotient of the product of any $2$ factors of $a$ and any $2$ factors of $b$ are irreducible.

Determine $\sqrt{1+50\cdot51\cdot52\cdot53}$ without a calculator?

Corollary to lemma on primitive polynomials in a UFD

How are you able to factorise a determinant like this?

$(1−x^n) = (1−x)(1 + x + x^2 +\cdots + x^{n−1})$

Evaluate :- $\frac{(2020^2 - 20100)(20100^2 - 100^2)(2000^2 + 20100)}{10(2010^6 - 10^6)}$

Proof that for primitive $p(x) \in D[x]$, $p(x)$ irreducible in $F[x]$ $\Leftrightarrow$ $p(x)$ irreducible in $D[x]$

We have $a,b,c$ and $d$ are real numbers such that $\frac{b + c + d}{a} = \frac{a + c + d}{b} = \frac{a + b + d}{c} = \frac{a + b + c}{d} = r$.

An uncertainty for $a^3+b^3+c^3-3abc$

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