Priscilla Johnston

2021-12-11

Simplify the following into an expanded polynomial.

$2{x}^{2}(10{x}^{3}+3x-9)-6{x}^{3}(6{x}^{2}+4)$

psor32

Beginner2021-12-12Added 33 answers

Step 1

Given,

$2{x}^{2}(10{x}^{3}+3x-9)-6{x}^{3}(6{x}^{2}+4)$

Step 2

On simplification, we get

$2{x}^{2}(10{x}^{3}+3x-9)-6{x}^{3}(6{x}^{2}+4)=20{x}^{5}+6{x}^{3}-18{x}^{2}-36{x}^{5}-24{x}^{3}$

$=(20{x}^{5}-36{x}^{5})+(6{x}^{3}-24{x}^{3})-18{x}^{2}$

$=-16{x}^{5}-18{x}^{3}-18{x}^{2}$

Given,

Step 2

On simplification, we get

$\frac{20b}{{\left(4{b}^{3}\right)}^{3}}$

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