Example

3(r+2s)=2t-4
a⋅(b-2)=3b
3(r+2s)=2t-4
a⋅(b-2)=3b

Question

$$.2.1x^{3}+8.2x^{2}+5-8x+1.9x^{5}-1.2x^{2}+2x^{4}-1$$

Answer

$$0.2*x^3+7*x^2+4-8*x+1.9*x^5+2*x^4$$

Solution


Simplify  \(2\times 0.1\times {x}^{3}\)  to  \((0.2){x}^{3}\).
\[0.2{x}^{3}+8.2{x}^{2}+5-8x+1.9{x}^{5}-1.2{x}^{2}+2{x}^{4}-1\]
Collect like terms.
\[0.2{x}^{3}+(8.2{x}^{2}-1.2{x}^{2})+(5-1)-8x+1.9{x}^{5}+2{x}^{4}\]
Simplify.
\[0.2{x}^{3}+7{x}^{2}+4-8x+1.9{x}^{5}+2{x}^{4}\]
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