Given that, [ ( 1+ x^ 3 ) .4; =4( 1+ x^ 3 ) #160; ] We know that, [ a( b+c ) =ab+ac; a=4,b=1,c= x^ 3; =4.1+4 x^ 3 ] = 4x^3 + 4 ...

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Multiplication of Any Polynomial

Expand 1+x3...

Question

Expand $(1 + x^{3}) .4$

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Solution

Given that,
$\begin{matrix} (1 + x^{3}) .4 = 4 (1 + x^{3}) \end{matrix}$
We know that,
$\begin{matrix} a (b + c) = a b + a c a = 4, b = 1, c = x^{3} = 4.1 + 4 x^{3} \end{matrix}$
$= 4 x^{3} + 4$
Then,
We get $= 4 x^{3} + 4$

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