Question

Factorise this expression. (kindly don't scam for points)​

Answer 1

Step-by-step explanation:

$a {}^{3} + a {}^{2} + a + 1$

Factor out a^2 from the expression

$= > a {}^{2} \times (a + 1) + a + 1$

Factor out a+1 from the expression

$= > (a + 1) \times (a {}^{2} + 1)$

Answer 2

♣ Qᴜᴇꜱᴛɪᴏɴ :

$\huge\boxed{\sf{\mathrm{Factor}\:a^3+a^2+a+1}}$

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♣ ᴀɴꜱᴡᴇʀ :

$\huge\boxed{\sf{\left(a+1\right)\left(a^2+1\right)}}$

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♣ ᴄᴀʟᴄᴜʟᴀᴛɪᴏɴꜱ :

$a^3+a^2+a+1$

$=\left(a^3+a^2\right)+\left(a+1\right)$

$\text { Factor out } a^{2} \text { from } a^{3}+a^{2}: a^{2}(a+1)$

$=\left(a+1\right)+a^2\left(a+1\right)$

$\mathrm{Factor\:out\:common\:term\:}a+1$

$\huge\boxed{\sf{=\left(a+1\right)\left(a^2+1\right)}}$