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2 years ago

I dont now what it is

Mathematics

1 answer:

Vanyuwa [196]2 years ago

4 0

Answer:

Its option C

As,

x+8=3x

8= 3x-x

8=2x

8/2=x

4=x

#x=4

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3 years ago

Find LCM of: x2 - 9, 3x3 + 81

VikaD [51]

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$\boxed{\pink{\sf (x + 3) \ is\ the \ LCM . }}$

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Given two expressions ,

$\qquad (1)\: x^2 - 9 \\\\ \qquad (2)\:3x^3 + 81$

And , we need to find the LCM , that is lowest common factor . So , let's factorise them seperately .

Factorising x² - 9 :- 

$= x^2 - 9 \\\\= x^2 - 3^2 \\\\ \red{= (x+3)(x-3)} \qquad\bf [Using \ a^2-b^2 = (a+b)(a-b) ]$

Factorising 3x³ + 81 

$= 3x^3 + 81\\\\= 3(x^3+27) \\\\= 3( x^3+27) \\\\ = 3(x^3+3^3) \\\\ \red{= 3 [ (x+3)(x^2+9-3x) ] } \qquad \bf{[ Using \ a^3+b^3=(a+b)(a^2+b^2-ab) ] }$

Hence we can see that (x+3) is common factor in both expressions.

Hence the LCM is ( x+3 ) .

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3 years ago