Question

What will be the product of (x + 2) (x + 4) (x + 6)





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Answer 1

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Answer 2

$\large{\bf{\green{\underline{\underline{♤\:GIVEN\:♤}}}}}$

$\large{\bf{(x+2)(x+4)(x+6)}}$

$\large{\bf{\green{\underline{\underline{♤\:To\:Find\:♤}}}}}$

Their product.

$\large{\bf{\green{\underline{\underline{♤\:</strong><strong>SOLUTION</strong><strong> </strong><strong>\:♤}}}}}$

$\huge{\bf{ATQ,}}$

$\large\Longrightarrow{\bf{(x+2)(x+4)(x+6)}}$

$\large{\bf{Let \: (x + 2) =a}}$

$\large{\bf{Let \: (x + 4) =b}}$

$\large{\bf{Let \: (x + 6) =c}}$

So first let's multiply a and b.

$\large\Longrightarrow{\bf{(x+2)(x+4)}}$

$\large\Longrightarrow{\bf{{x}^{2}+4x+2x+8}}$

$\large\Longrightarrow{\bf{{x}^{2}+6x+8}}$

$\large{\bf{Now \: lets \: multiply \: ( {x}^{2} + 6x + 8) \: with \: (x + 6)}}$

SO,

$\large\Longrightarrow{\bf{({x}^{2}+6x+8)(x+6)}}$

$\large\Longrightarrow{\bf{{x}^{3}+6{x}^{2}+8x+6{x}^{2}+36x+48}}$

$\large\Longrightarrow{\bf{{x}^{3}+12{x}^{2}+44x+48}}$

$\large{\bf{So\: the \:product\: of \:(x + 2)(x + 4)(x + 6) \: is:-}}$

$\large\boxed{\bf{\pink{ {x}^{3} + 12 {x}^{2} + 44x + 48}}}$