How do you multiply $9 x^{3} (x^{2} + x + 1)$ $9x^3(x^2+x+1)$ ?

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How do you multiply $9 x^{3} (x^{2} + x + 1)$ $9x^3(x^2+x+1)$ ?

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Answer 1 · 2017-04-29T07:41:49

$9 x^{5} + 9 x^{4} + 9 x^{3}$ $9x^5+9x^4+9x^3$

Explanation:

Each term in the bracket is multiplied by $9 x^{3}$ $9x^3$

$\Rightarrow 9 x^{3} (x^{2} + x + 1)$ $rArrcolor(red)(9x^3)(x^2+x+1)$

$= (9 x^{3} \times x^{2}) + (9 x^{3} \times x) + (9 x^{3} \times 1)$ $=(color(red)(9x^3)xxx^2)+(color(red)(9x^3)xxx)+(color(red)(9x^3)xx1)$

$= 9 x^{5} + 9 x^{4} + 9 x^{3}$ $=9x^5+9x^4+9x^3$

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How do you multiply $9 x^{3} (x^{2} + x + 1)$ $9x^3(x^2+x+1)$ ?

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How do you multiply $9 x^{3} (x^{2} + x + 1)$ $9x^3(x^2+x+1)$ ?