# What is the standard form of  y=9x^2(2x+x^3-3) ?

Apr 24, 2016

$y = 9 {x}^{5} + 18 {x}^{3} - 27 {x}^{2}$

#### Explanation:

Multiply everything inside the brackets by $9 {x}^{2}$ giving

$y = 18 {x}^{3} + 9 {x}^{5} - 27 {x}^{2}$

Rearranging

$y = 9 {x}^{5} + 18 {x}^{3} - 27 {x}^{2}$

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Standard form $\to {a}_{n} {x}^{n} + {a}_{n - 1} {x}^{n - 1} + {a}_{n - 2} {x}^{n - 2} + \ldots . {a}_{1} {x}^{1} + {a}_{0} {x}^{0}$