Math, asked by jefrin001, 8 months ago

simplify (x+6) (x+4) (x+2)

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Answered by nikidutta1986

Answer:

Hey mate,

Step-by-step explanation:

Hope this will help you..

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Answered by Mihir1001

$\bold{Answer:}$

$\huge\boxed{ {x}^{3} + 12 {x}^{2} + 44x + 48}$

$\bold{Step-by-step-explaination:}$

we have,

$(x + 6)(x + 4)(x + 2)$

$= (x + 6)[(x + 4)(x + 2)]$

$= (x + 6)[(x)(x) + (x)(2) + (4)(x) + (4)(2)]$

$= (x + 6)( {x}^{2} + 2x + 4x + 8)$

$= (x + 6)( {x}^{2} + 6x + 8)$

$= (x)( {x}^{2} ) + (x)(6x) + (x)(8) + (6)( {x}^{2} ) + (6)(6x) + (6)(8)$

$= {x}^{(1 + 2)} + 6 {x}^{(1 + 1)} + 8x + 6 {x}^{2} + 36x + 48$

$= {x}^{3} + 6 {x}^{2} + 6 {x}^{2} + 8x + 36x + 48$

$= {x}^{3} + 12 {x}^{2} + 44x + 48$

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