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Popular >

expand ((0.2+x)(0.2+2x)^2)/((0.2-2x)^2)

Solution

expand

\frac{( 0.2 + x ) ( 0.2 + 2 x ) ^{2}}{( 0.2 - 2 x ) ^{2}}

Solution

\frac{4 x ^{3} + 1.6 x ^{2} + 0.2 x + 0.008}{0.04 - 0.8 x + 4 x ^{2}}

Solution steps

\frac{( 0.2 + x ) ( 0.2 + 2 x ) ^{2}}{( 0.2 - 2 x ) ^{2}}

(0.2 - 2 x)^{2} = 0.04 - 0.8 x + 4 x^{2}

= \frac{( x + 0.2 ) ( 2 x + 0.2 ) ^{2}}{0.04 - 0.8 x + 4 x ^{2}}

(0.2 + 2 x)^{2} = 0.04 + 0.8 x + 4 x^{2}

= \frac{( x + 0.2 ) ( 4 x ^{2} + 0.8 x + 0.04 )}{0.04 - 0.8 x + 4 x ^{2}}

Expand

(0.2 + x) (0.04 + 0.8 x + 4 x^{2}) : 4 x^{3} + 1.6 x^{2} + 0.2 x + 0.008

= \frac{4 x ^{3} + 1.6 x ^{2} + 0.2 x + 0.008}{0.04 - 0.8 x + 4 x ^{2}}

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Frequently Asked Questions (FAQ)

What is expand ((0.2+x)(0.2+2x)^2)/((0.2-2x)^2) ?
The solution to expand ((0.2+x)(0.2+2x)^2)/((0.2-2x)^2) is (4x^3+1.6x^2+0.2x+0.008)/(0.04-0.8x+4x^2)