Question

Factorise (1) x³+ x-2x²-2 (2) a²+20a+36​

Answer 1

Answer:

2) a square+ 20a+36

a(a+18)2(a+18)

(a+18)(a+2)

hope it helps you

but I do not no 1st one

Answer 2

$\huge{ \underline{ \star{ \bold{ \red{ \: Question...}}}}}$

✏Factorise

(1) x³+ x-2x²-2

(2) a²+20a+36

$\huge{ \underline{ \star{ \bold{ \green{Answer...}}}}}$

✳ (x2+ 1)(x-2)

✳(a+2)(a+18)

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$a) : \large{ \sf{ \implies{ {x}^{3} + x - 2 {x}^{2} - 2}}} \\ \sf{ \dag{ \red{(rearranging \: in \: suitable \: way)}}} \\ \\ : \large{ \sf{ \implies{ {x}^{3} - 2 {x}^{2} + x - 2}}} \\ \\ : \large{ \sf{ \implies{ {x}^{2} (x - 2) + 1(x - 2)}}} \\ \\ : \large{ \sf{ \implies{( {x}^{2} + 1)(x - 2)}}} \\ \sf{ \dag{ \purple{(hence \: factorised...)}}}$

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$b) : \large{ \sf{ \implies{ {a}^{2} + 20a + 36}}} \\ \sf{ \dag{ \red{(by \: middle \: term \: factorisation)}}} \\ \\ : \large{ \sf{ \implies{ {a}^{2} + 18a + 2a + 36}}} \\ \\ : \large{ \sf{ \implies{ a(a + 18) + 2(a + 18)}}} \\ \\ : \large{ \sf{ \implies{(a + 2)(a + 18)}}} \\ \sf{ \dag{ \purple{(hence \: factorised...)}}}$

$\large{ \sf{ \green{ \underline{ hence \: both \: are \: factorised...}}}}$